Questions on Algebra: Polynomials, rational expressions and equations answered by real tutors!

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Question 140751: Please help me with this. I am really struggling on learning how to do this. Thank you soooo much in advance for all you do. Could you help me learn how to solve this problem?
Here is the problem:

A student playing a computer chess game gets 5 points every time he wins a round. The computer gets 3 points every time it wins a round. They play 64 rounds and end with a tied score. How many rounds did the computer win?

Thanks you again SOO very much!

Click here to see answer by scott8148(6628) About Me 

Question 140771: In drag racing, both vehicles begin at a dead stop, then accelerate through 1/4 mi. Let us say, for the sake of discussion, that our two vehicles are not quite matched in power. That is, vehicle A can accelerate from 0 mph to 60 mph in 5 secs., whereas the vehicle B can accelerate from 0 mph to 60 mph in 4 secs.

DQ 3: How would you determine the time, t, for the fastest vehicle to traverse 1/4 mi.?

Click here to see answer by scott8148(6628) About Me 

Question 140859: what is a quotient of a monomial and a polynimial
Click here to see answer by solver91311(24713) About Me 

Question 140871: Can someone please help me with this two part problem?
Create a table and plot the graph for each of the following polynomial expressions.
a. y=x^3+3 The x values are 0, 1, -1, 2, -2, 3, and -3.
b. y=x^4-4 The x values are the same as part a.
I am confused about what to do with this problem any help would be great.

Click here to see answer by Fombitz(32388) About Me 
Question 140871: Can someone please help me with this two part problem?
Create a table and plot the graph for each of the following polynomial expressions.
a. y=x^3+3 The x values are 0, 1, -1, 2, -2, 3, and -3.
b. y=x^4-4 The x values are the same as part a.
I am confused about what to do with this problem any help would be great.

Click here to see answer by solver91311(24713) About Me 

Question 140864: could someone please help me with my math?*
Simplify (a^6b^2)(a^-4b^5)/a^2

Click here to see answer by rapaljer(4671) About Me 

Question 140805: Divide the following
30x^3y^2-20x^2y^2+15xy
-----------------------
-5xy

Click here to see answer by edjones(8007) About Me 

Question 140924: (2p-5q)+(3p+6q)+(p-q)
Click here to see answer by checkley77(12844) About Me 

Question 140938: This problem is in a polynomial related math packet so I assume that this would be the correct place to submit this. This is a verbal question. Here it is:
Everyday at noon a ship leaves San Francisco for Tokyo, and at the same instant a ship leaves Tokyo for San Francisco. Each trip lasts exactly 8 days. How many Tokyo ships will each San Francisco ship meet?
I'd appreciate any help with this problem. Thank you for your time.

Click here to see answer by scott8148(6628) About Me 

Question 141001: Hello I need your help....I have to multiply this equation...Can you help me?
Page 259
Number 20
6x^2(-9x^3)

Click here to see answer by edjones(8007) About Me 

Question 141002: Can you help me on this one...??? I have to divide, leave the answer in exponent form. Assume that all variables in any denominator are nonzero.
Page 259
Number 42

x^13 / x^3
this is a fraction

Click here to see answer by edjones(8007) About Me 

Question 141007: Can you help me here? Thanks...
Page 260
Number 92
Mixed Practice....(4/x^6)^3
This is a fraction

Click here to see answer by checkley77(12844) About Me 

Question 141006: HELP!!!!! LOL Can you?.....
Page 260
Number 76
I have to simplify this problem...
(2x^4yz^3)^2

Click here to see answer by checkley77(12844) About Me 

Question 141004: Can you help me out here? I have to divide this problem and leave the answer in exponent form. Assume that all variables in any denominator are nonzero...
Page 259
Number54
45a^4b^3 / 15a^4b^2
This is a fraction

Click here to see answer by checkley77(12844) About Me 

Question 141032: find the degree of the following polynomail 3x%5E2y%2B4x%5E5y%5E3-7x%5E4
Click here to see answer by Edwin McCravy(20054) About Me 

Question 141030: perform th eindicated operation . Express the answer in scientific notation. ( 5.6x 10^3) ( 4x10^5)
Click here to see answer by vleith(2983) About Me 

Question 141005: Can you help me please...Thanks...
I have to simplify this problem..
Page 260
Number 70
(w^5)^8

Click here to see answer by vleith(2983) About Me 

Question 141051: how do you factor this polynomial x^2+14x+24
Click here to see answer by jim_thompson5910(35256) About Me 
Question 141051: how do you factor this polynomial x^2+14x+24
Click here to see answer by vleith(2983) About Me 

Question 141067: express in standard form 7.29x10^6
Click here to see answer by checkley77(12844) About Me 

Question 141029: express in standard form. 729 x 10^6
Click here to see answer by checkley77(12844) About Me 

Question 141073: Could you please show me how to factor the following polynomial? I need to know this to solve a rational expression:
x2+2x-5
Also, I can't seem to be able to solve the following problem, which it's part of the same lesson:
x+y over x2+2xy+y2 plus 3x over x-y minus 2x+3y over x+y

Thanks so much for your help,
Carlos

Click here to see answer by vleith(2983) About Me 

Question 141083: Simply the expression
3x(x^5)^2
--------------
6x^3(x^2)^4

Click here to see answer by rapaljer(4671) About Me 

Question 141085: Simplify
(-6x^2y^4z^9)^z
(------------)
( 3x^6y^4z^3)

Click here to see answer by rapaljer(4671) About Me 

Question 141127: Could I havehelp with this problem please* Find an equation of variation for the given situation. y varies inversely as the square of x, and y=6 when x=3
Click here to see answer by rapaljer(4671) About Me 

Question 141125: Can someone help me* my problem is to find a polynomial function of degree 3 with the given numbers as zeros. 2, i, -i
Click here to see answer by rapaljer(4671) About Me 
Question 141125: Can someone help me* my problem is to find a polynomial function of degree 3 with the given numbers as zeros. 2, i, -i
Click here to see answer by edjones(8007) About Me 

Question 141157: (3x-5)^2
Click here to see answer by checkley77(12844) About Me 

Question 141124: Tutor can you help me please* Graph the polynomial function h(x)=(x+2)^3

Click here to see answer by checkley77(12844) About Me 

Question 141175: If a skydiver jumps from an airplane at a height of 8256 feet, then for the first 5 seconds, her height above the earth is approximated by the formula: h=-t^2+8256 . How many seconds does it take her to reach 8000 feet?
Click here to see answer by stanbon(75887) About Me 

Question 141174: If the product of two consecutive even integers is 34 larger than their sum then what are the two integers?
Click here to see answer by stanbon(75887) About Me 

Question 141190: I am in need of help...I have to multiply this one....
Page 279
Number 30

(x+3)(x-6)

Click here to see answer by stanbon(75887) About Me 

Question 141188: Ok here we go...LOL...:)
Can you help me?
Page 285
Number 20
Using the formula for binomial squared to multiply....
(6x+5)^2

Click here to see answer by checkley77(12844) About Me 

Question 141187: Please can you help me out on this?
Page 285
Number 8
(x+6)(x-6)
Using the formula (a+b)(a-b) = a^2-b^2 to multiply...

Click here to see answer by stanbon(75887) About Me 

Question 141186: I was wondering if you could help me with this question....
Page 285
Number 18
using the formula for a binomial squared to multiply...
(4x-1)^2

Click here to see answer by stanbon(75887) About Me 

Question 141123: Tutor this is an exercise from my textbook by beecher, penna, bittinger (Algebra & Trig) Determine the leading term, the leading coefficient, and the degree of the polynomial. then classify the polynomial as constant, linear, quadratic, cubic or quartic.
thank you for your help

Click here to see answer by solver91311(24713) About Me 

Question 141206: How do you add and subtract rational expressions that have different polynomials in the denominator
Click here to see answer by vleith(2983) About Me 

Question 141130: suppose the record shown played for 16.5 minutes on one side and the average of the radii of the grooves on the record was 3 and 3/4 inches. there are 33 1/3 revolutions per minute. Write an expression involving units that represents how manby inches the needle passed through the grooves while the record was being played. then evaluate the expression.
Click here to see answer by ankor@dixie-net.com(22740) About Me 

Question 141213: 2t^2+3t-11)/(t-3)
Click here to see answer by stanbon(75887) About Me 

Question 141267: Hello I have to solve polynomials using the GFC and I do not know how. I have to so life tons so if you could help me with a few it would be great. OK so they 4 times t to the 5th power minus 12 times t to the 3rd power plus 8 times t to the second power. The next one is 12 times w to the 3rd power plus 8 times w to the second power plus 20 times w. Also if you could help me with 2 times k to the fourth power plus 4 times k to the 3rd power minus 6 times k minus 8. This one i can not seem to do.I will try to write them now in math form but just to let you know ' with a number after is an exponent. 4t'5-12t'3+bt'3 and 12w'3 + 8w'2 + 20w and 2k'4+4k'3-6k-8. Please help me i am sp confuses
Click here to see answer by stanbon(75887) About Me 

Question 141279: how do you factor 9x squared + 18x?
Click here to see answer by Earlsdon(6294) About Me 

Question 141288: I have a final tomorrow and this question is on the review.
Factor completely:
x^3+x^2-25x-25

Click here to see answer by stanbon(75887) About Me 
Question 141288: I have a final tomorrow and this question is on the review.
Factor completely:
x^3+x^2-25x-25

Click here to see answer by Earlsdon(6294) About Me 

Question 141291: m/5 + m The directions for this problem say to Perform the indicated operation and reduce the answer to the lowest terms.
I am trying to follow the examples in the book to solve the problems but I didn't see an example like this one. Could you please help? Thank you, Anne

Click here to see answer by edjones(8007) About Me 

Question 141329: please tell me if this is right. thanks . five friends were waiting in a line.how many different ways can they arrange themselves in that line? I got 25 Thanks for helping
Click here to see answer by stanbon(75887) About Me 

Older solutions: 1..45, 46..90, 91..135, 136..180, 181..225, 226..270, 271..315, 316..360, 361..405, 406..450, 451..495, 496..540, 541..585, 586..630, 631..675, 676..720, 721..765, 766..810, 811..855, 856..900, 901..945, 946..990, 991..1035, 1036..1080, 1081..1125, 1126..1170, 1171..1215, 1216..1260, 1261..1305, 1306..1350, 1351..1395, 1396..1440, 1441..1485, 1486..1530, 1531..1575, 1576..1620, 1621..1665, 1666..1710, 1711..1755, 1756..1800, 1801..1845, 1846..1890, 1891..1935, 1936..1980, 1981..2025, 2026..2070, 2071..2115, 2116..2160, 2161..2205, 2206..2250, 2251..2295, 2296..2340, 2341..2385, 2386..2430, 2431..2475, 2476..2520, 2521..2565, 2566..2610, 2611..2655, 2656..2700, 2701..2745, 2746..2790, 2791..2835, 2836..2880, 2881..2925, 2926..2970, 2971..3015, 3016..3060, 3061..3105, 3106..3150, 3151..3195, 3196..3240, 3241..3285, 3286..3330, 3331..3375, 3376..3420, 3421..3465, 3466..3510, 3511..3555, 3556..3600, 3601..3645, 3646..3690, 3691..3735, 3736..3780, 3781..3825, 3826..3870, 3871..3915, 3916..3960, 3961..4005, 4006..4050, 4051..4095, 4096..4140, 4141..4185, 4186..4230, 4231..4275, 4276..4320, 4321..4365, 4366..4410, 4411..4455, 4456..4500, 4501..4545, 4546..4590, 4591..4635, 4636..4680, 4681..4725, 4726..4770, 4771..4815, 4816..4860, 4861..4905, 4906..4950, 4951..4995, 4996..5040, 5041..5085, 5086..5130, 5131..5175, 5176..5220, 5221..5265, 5266..5310, 5311..5355, 5356..5400, 5401..5445, 5446..5490, 5491..5535, 5536..5580, 5581..5625, 5626..5670, 5671..5715, 5716..5760, 5761..5805, 5806..5850, 5851..5895, 5896..5940, 5941..5985, 5986..6030, 6031..6075, 6076..6120, 6121..6165, 6166..6210, 6211..6255, 6256..6300, 6301..6345, 6346..6390, 6391..6435, 6436..6480, 6481..6525, 6526..6570, 6571..6615, 6616..6660, 6661..6705, 6706..6750, 6751..6795, 6796..6840, 6841..6885, 6886..6930, 6931..6975, 6976..7020, 7021..7065, 7066..7110, 7111..7155, 7156..7200, 7201..7245, 7246..7290, 7291..7335, 7336..7380, 7381..7425, 7426..7470, 7471..7515, 7516..7560, 7561..7605, 7606..7650, 7651..7695, 7696..7740, 7741..7785, 7786..7830, 7831..7875, 7876..7920, 7921..7965, 7966..8010, 8011..8055, 8056..8100, 8101..8145, 8146..8190, 8191..8235, 8236..8280, 8281..8325, 8326..8370, 8371..8415, 8416..8460, 8461..8505, 8506..8550, 8551..8595, 8596..8640, 8641..8685, 8686..8730, 8731..8775, 8776..8820, 8821..8865, 8866..8910, 8911..8955, 8956..9000, 9001..9045, 9046..9090, 9091..9135, 9136..9180, 9181..9225, 9226..9270, 9271..9315, 9316..9360, 9361..9405, 9406..9450, 9451..9495, 9496..9540, 9541..9585, 9586..9630, 9631..9675, 9676..9720, 9721..9765, 9766..9810, 9811..9855, 9856..9900, 9901..9945, 9946..9990, 9991..10035, 10036..10080, 10081..10125, 10126..10170, 10171..10215, 10216..10260, 10261..10305, 10306..10350, 10351..10395, 10396..10440, 10441..10485, 10486..10530, 10531..10575, 10576..10620, 10621..10665, 10666..10710, 10711..10755, 10756..10800, 10801..10845, 10846..10890, 10891..10935, 10936..10980, 10981..11025, 11026..11070, 11071..11115, 11116..11160, 11161..11205, 11206..11250, 11251..11295, 11296..11340, 11341..11385, 11386..11430, 11431..11475, 11476..11520, 11521..11565, 11566..11610, 11611..11655, 11656..11700, 11701..11745, 11746..11790, 11791..11835, 11836..11880, 11881..11925, 11926..11970, 11971..12015, 12016..12060, 12061..12105, 12106..12150, 12151..12195, 12196..12240, 12241..12285, 12286..12330, 12331..12375, 12376..12420, 12421..12465, 12466..12510, 12511..12555, 12556..12600, 12601..12645, 12646..12690, 12691..12735, 12736..12780, 12781..12825, 12826..12870, 12871..12915, 12916..12960, 12961..13005, 13006..13050, 13051..13095, 13096..13140, 13141..13185, 13186..13230, 13231..13275, 13276..13320, 13321..13365, 13366..13410, 13411..13455, 13456..13500, 13501..13545, 13546..13590, 13591..13635, 13636..13680, 13681..13725, 13726..13770, 13771..13815, 13816..13860, 13861..13905, 13906..13950, 13951..13995, 13996..14040, 14041..14085, 14086..14130, 14131..14175, 14176..14220, 14221..14265, 14266..14310, 14311..14355, 14356..14400, 14401..14445, 14446..14490, 14491..14535, 14536..14580, 14581..14625, 14626..14670, 14671..14715, 14716..14760, 14761..14805, 14806..14850, 14851..14895, 14896..14940, 14941..14985, 14986..15030, 15031..15075, 15076..15120, 15121..15165, 15166..15210, 15211..15255, 15256..15300, 15301..15345, 15346..15390, 15391..15435, 15436..15480, 15481..15525, 15526..15570, 15571..15615, 15616..15660, 15661..15705, 15706..15750, 15751..15795, 15796..15840, 15841..15885, 15886..15930, 15931..15975, 15976..16020, 16021..16065, 16066..16110, 16111..16155, 16156..16200, 16201..16245, 16246..16290, 16291..16335, 16336..16380, 16381..16425, 16426..16470, 16471..16515, 16516..16560, 16561..16605, 16606..16650, 16651..16695, 16696..16740, 16741..16785, 16786..16830, 16831..16875, 16876..16920, 16921..16965, 16966..17010, 17011..17055, 17056..17100, 17101..17145, 17146..17190, 17191..17235, 17236..17280, 17281..17325, 17326..17370, 17371..17415, 17416..17460, 17461..17505, 17506..17550, 17551..17595, 17596..17640, 17641..17685, 17686..17730, 17731..17775, 17776..17820, 17821..17865, 17866..17910, 17911..17955, 17956..18000, 18001..18045, 18046..18090, 18091..18135, 18136..18180, 18181..18225, 18226..18270, 18271..18315, 18316..18360, 18361..18405, 18406..18450, 18451..18495, 18496..18540, 18541..18585, 18586..18630, 18631..18675, 18676..18720, 18721..18765, 18766..18810, 18811..18855, 18856..18900, 18901..18945, 18946..18990, 18991..19035, 19036..19080, 19081..19125, 19126..19170, 19171..19215, 19216..19260, 19261..19305, 19306..19350, 19351..19395, 19396..19440, 19441..19485, 19486..19530, 19531..19575, 19576..19620, 19621..19665, 19666..19710, 19711..19755, 19756..19800, 19801..19845, 19846..19890, 19891..19935, 19936..19980, 19981..20025, 20026..20070, 20071..20115, 20116..20160, 20161..20205, 20206..20250, 20251..20295, 20296..20340, 20341..20385, 20386..20430, 20431..20475, 20476..20520, 20521..20565, 20566..20610, 20611..20655, 20656..20700, 20701..20745, 20746..20790, 20791..20835, 20836..20880, 20881..20925, 20926..20970, 20971..21015, 21016..21060, 21061..21105, 21106..21150, 21151..21195, 21196..21240, 21241..21285, 21286..21330, 21331..21375, 21376..21420, 21421..21465, 21466..21510, 21511..21555, 21556..21600, 21601..21645, 21646..21690, 21691..21735, 21736..21780, 21781..21825, 21826..21870, 21871..21915, 21916..21960, 21961..22005, 22006..22050, 22051..22095, 22096..22140, 22141..22185, 22186..22230, 22231..22275, 22276..22320, 22321..22365, 22366..22410, 22411..22455, 22456..22500, 22501..22545, 22546..22590, 22591..22635, 22636..22680, 22681..22725, 22726..22770, 22771..22815, 22816..22860, 22861..22905, 22906..22950, 22951..22995, 22996..23040, 23041..23085, 23086..23130, 23131..23175, 23176..23220, 23221..23265, 23266..23310, 23311..23355, 23356..23400, 23401..23445, 23446..23490, 23491..23535, 23536..23580, 23581..23625, 23626..23670, 23671..23715, 23716..23760, 23761..23805, 23806..23850, 23851..23895, 23896..23940, 23941..23985, 23986..24030, 24031..24075, 24076..24120, 24121..24165, 24166..24210, 24211..24255, 24256..24300, 24301..24345, 24346..24390, 24391..24435, 24436..24480, 24481..24525, 24526..24570, 24571..24615, 24616..24660, 24661..24705, 24706..24750, 24751..24795, 24796..24840, 24841..24885, 24886..24930, 24931..24975, 24976..25020, 25021..25065, 25066..25110, 25111..25155, 25156..25200, 25201..25245, 25246..25290, 25291..25335, 25336..25380, 25381..25425, 25426..25470, 25471..25515, 25516..25560, 25561..25605, 25606..25650, 25651..25695, 25696..25740, 25741..25785, 25786..25830, 25831..25875, 25876..25920, 25921..25965, 25966..26010, 26011..26055, 26056..26100, 26101..26145, 26146..26190, 26191..26235, 26236..26280, 26281..26325, 26326..26370, 26371..26415, 26416..26460, 26461..26505, 26506..26550, 26551..26595, 26596..26640, 26641..26685, 26686..26730, 26731..26775, 26776..26820, 26821..26865, 26866..26910, 26911..26955, 26956..27000, 27001..27045, 27046..27090, 27091..27135, 27136..27180, 27181..27225, 27226..27270, 27271..27315, 27316..27360, 27361..27405, 27406..27450, 27451..27495, 27496..27540, 27541..27585, 27586..27630, 27631..27675, 27676..27720, 27721..27765, 27766..27810, 27811..27855, 27856..27900, 27901..27945, 27946..27990, 27991..28035, 28036..28080, 28081..28125, 28126..28170, 28171..28215, 28216..28260, 28261..28305, 28306..28350, 28351..28395, 28396..28440, 28441..28485, 28486..28530, 28531..28575, 28576..28620, 28621..28665, 28666..28710, 28711..28755, 28756..28800, 28801..28845, 28846..28890, 28891..28935, 28936..28980, 28981..29025, 29026..29070, 29071..29115, 29116..29160, 29161..29205, 29206..29250, 29251..29295, 29296..29340, 29341..29385, 29386..29430, 29431..29475, 29476..29520, 29521..29565, 29566..29610, 29611..29655, 29656..29700, 29701..29745, 29746..29790, 29791..29835, 29836..29880, 29881..29925, 29926..29970, 29971..30015, 30016..30060, 30061..30105, 30106..30150, 30151..30195, 30196..30240, 30241..30285, 30286..30330, 30331..30375, 30376..30420, 30421..30465, 30466..30510, 30511..30555, 30556..30600, 30601..30645, 30646..30690, 30691..30735, 30736..30780, 30781..30825, 30826..30870, 30871..30915, 30916..30960, 30961..31005, 31006..31050, 31051..31095, 31096..31140, 31141..31185, 31186..31230, 31231..31275, 31276..31320, 31321..31365, 31366..31410, 31411..31455, 31456..31500, 31501..31545, 31546..31590, 31591..31635, 31636..31680, 31681..31725, 31726..31770, 31771..31815, 31816..31860, 31861..31905, 31906..31950, 31951..31995, 31996..32040, 32041..32085, 32086..32130, 32131..32175, 32176..32220, 32221..32265, 32266..32310, 32311..32355, 32356..32400, 32401..32445, 32446..32490, 32491..32535, 32536..32580, 32581..32625, 32626..32670, 32671..32715, 32716..32760, 32761..32805, 32806..32850, 32851..32895, 32896..32940, 32941..32985, 32986..33030, 33031..33075, 33076..33120, 33121..33165, 33166..33210, 33211..33255, 33256..33300, 33301..33345, 33346..33390, 33391..33435, 33436..33480, 33481..33525, 33526..33570, 33571..33615, 33616..33660, 33661..33705, 33706..33750, 33751..33795, 33796..33840, 33841..33885, 33886..33930, 33931..33975, 33976..34020, 34021..34065, 34066..34110, 34111..34155, 34156..34200, 34201..34245, 34246..34290, 34291..34335, 34336..34380, 34381..34425, 34426..34470, 34471..34515, 34516..34560, 34561..34605, 34606..34650, 34651..34695, 34696..34740, 34741..34785, 34786..34830, 34831..34875, 34876..34920, 34921..34965, 34966..35010, 35011..35055, 35056..35100, 35101..35145, 35146..35190, 35191..35235, 35236..35280, 35281..35325, 35326..35370, 35371..35415, 35416..35460, 35461..35505, 35506..35550, 35551..35595, 35596..35640, 35641..35685, 35686..35730, 35731..35775, 35776..35820, 35821..35865, 35866..35910, 35911..35955, 35956..36000, 36001..36045, 36046..36090, 36091..36135, 36136..36180, 36181..36225, 36226..36270, 36271..36315, 36316..36360, 36361..36405, 36406..36450, 36451..36495, 36496..36540, 36541..36585, 36586..36630, 36631..36675, 36676..36720, 36721..36765, 36766..36810, 36811..36855, 36856..36900, 36901..36945, 36946..36990, 36991..37035, 37036..37080, 37081..37125, 37126..37170, 37171..37215, 37216..37260, 37261..37305, 37306..37350, 37351..37395, 37396..37440, 37441..37485, 37486..37530, 37531..37575, 37576..37620, 37621..37665, 37666..37710, 37711..37755, 37756..37800, 37801..37845, 37846..37890, 37891..37935, 37936..37980, 37981..38025, 38026..38070, 38071..38115, 38116..38160, 38161..38205, 38206..38250, 38251..38295, 38296..38340, 38341..38385, 38386..38430, 38431..38475, 38476..38520, 38521..38565, 38566..38610, 38611..38655, 38656..38700, 38701..38745, 38746..38790, 38791..38835, 38836..38880, 38881..38925, 38926..38970, 38971..39015, 39016..39060, 39061..39105