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

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Question 300259: evaluate :

8 - 5/3
a. 1/32
b. 1/52
c.1/56
d.1/25

Click here to see answer by Alan3354(30993) About Me 

Question 300215: h(x)=x to the power of 2 -5x-24
Click here to see answer by Fombitz(13828) About Me 

Question 300214: I need to find the quotient and remainder for each division.
Write each expression in the form quotient + remainder/divisor.
2x^2+4/2x
so, far i came up with but i know something is missing and it doesn't look right.
2x/2x^2+0x+4= x+4
thank you!

Click here to see answer by Fombitz(13828) About Me 

Question 300228: how do you solve x2-4/x2+4*x+2/x-2
Click here to see answer by Fombitz(13828) About Me 

Question 300302: Factor -7m3n -28mn3
Click here to see answer by nerdybill(6958) About Me 

Question 300274: can you help me to solve 3/4x+1/2=5/6
Click here to see answer by Fombitz(13828) About Me 

Question 300431: 3b(5b+8)
Click here to see answer by missgigid(8) About Me 

Question 300442: 3x%28x%2B2%29=x%2B2
Click here to see answer by JBarnum(2044) About Me 

Question 300458: how do i solve: xcubed+9xsquared+14x over xsquared-4
Click here to see answer by checkley77(12569) About Me 

Question 300485: Reduce the rational expression. (Show steps please)
%28x%5E2-49%29%2F%283x-21%29

Click here to see answer by checkley77(12569) About Me 

Question 300489: Reduce the rational expression (please show steps)
%28x%5E2-4x%29%2F%28x%5E2-x-12%29

Click here to see answer by nerdybill(6958) About Me 

Question 300548: Can someone please solve the below and explain. Thank you so much.
Factor Completly. Remember to look first for a common factor. Check by multiplying. If a polynomoal is prime state this. 3y^2-9y-84. Thanks again

Click here to see answer by nerdybill(6958) About Me 
Question 300548: Can someone please solve the below and explain. Thank you so much.
Factor Completly. Remember to look first for a common factor. Check by multiplying. If a polynomoal is prime state this. 3y^2-9y-84. Thanks again

Click here to see answer by dabanfield(803) About Me 

Question 300539: 2n%2Fn-1++%2B+++++n-5%2Fn%5E2-1=1
I am so confused, when i start the problem i know how to find the lowest common denominator but after that i get very lost.
thanks for the help
i appreciate it

Click here to see answer by dabanfield(803) About Me 

Question 300600: Are these factored correctly?
3x-6= 3 x X 3 x 2 = 3(x-2)
x 2 power + 10x -24= (x + 6) (x - 4)= x 2nd power -4x -6x -24

Click here to see answer by JBarnum(2044) About Me 

Question 300637: i am haveing trouble factoring this. can you please help me? 21x%5E5-24x%5E2-6x%5E4
Click here to see answer by jim_thompson5910(28550) About Me 

Question 300636: i am haveing trouble factoring this. can you please help me? 21x%5E5-24x%5E2-6x%5E4
Click here to see answer by stanbon(57303) About Me 

Question 300634: i am haveing trouble factoring this. can you please help me? 21x%5E5-24x%5E2-6x%5E4
Click here to see answer by Alan3354(30993) About Me 

Question 300689: Which of the following is a factor of 10x^(2)+11x+3?
[A](2x-1) [B](5x-3) [C](2x+1) [D](5x+1)

Click here to see answer by richwmiller(9135) About Me 

Question 300713: Solve by factoring and using the principle of zero products.
9t^2=25

Click here to see answer by nerdybill(6958) About Me 

Question 300777: evaluate :

8 - 5/3
a. 1/32
b. 1/52
c.1/56
d.1/25

Click here to see answer by Alan3354(30993) About Me 

Question 300782: i am haveing trouble factoring this. can you please help me? 21x%5E5-24x%5E2-6x%5E4
Click here to see answer by Alan3354(30993) About Me 
Question 300782: i am haveing trouble factoring this. can you please help me? 21x%5E5-24x%5E2-6x%5E4
Click here to see answer by Edwin McCravy(8906) About Me 

Question 300802: We learned how to factor trinomials awhile ago, by unfoiling like x%5E2%2B2x-3 would be (x+3)(x-1), but how do you do it if there is a coefficient in front of the x%5E2 like 3b%5E2-17b%2B22 i used to just factor it out when they were simple bye just making like 2x%5E2%2B4x%2B6 into 2%28x%5E2%2B2x%2B3%29 but it dosent work like that anymore because im getting ugly decimals. Please help.
Click here to see answer by Stitch(352) About Me 

Question 300822: Determine the value(s) of the variable that must be excluded from the domain. 2(x + 3)
-4x2 - 8x

Click here to see answer by Alan3354(30993) About Me 

Question 300848: Jack usually mows his lawn in 5 hours. Marilyn can mow the same lawn is 3 hours. How much time would it take to mow the lawn together?
Click here to see answer by solver91311(16877) About Me 

Question 300769: Applications of linear systems- solve using two equation and two variables

An office suply store in San Diego sells 7 writing tablets and 4 pens for $6.40. Also, 2 tablets and 19 pens cost $5.40. Find the price of each one

Click here to see answer by Fombitz(13828) About Me 

Question 300845: Please help me solve this equation. I am not sure how to solve it with a cubed variable. Does it follow a regular FOIL pattern?
6x^3 +5x^2 +11
also,
t^3 + 6t-4

Click here to see answer by Edwin McCravy(8906) About Me 
Question 300845: Please help me solve this equation. I am not sure how to solve it with a cubed variable. Does it follow a regular FOIL pattern?
6x^3 +5x^2 +11
also,
t^3 + 6t-4

Click here to see answer by solver91311(16877) About Me 

Question 300892: Preform the indicated operations and reduce all results to lowest terms. Assume the variables are restricted to values that prevent division by zero. (steps would be appreciated)
%282x%29%2F%28x-3%29%2B%286%29%2F%283-x%29

Click here to see answer by Fombitz(13828) About Me 

Question 300921: Solve for a (steps would be appreciated)
%281%29%2F%28a%29%2B%281%29%2F%28b%29=+%281%29%2F%28c%29

Click here to see answer by Fombitz(13828) About Me 

Question 300939: how would you slove....
how+would+you+slove....%0D%0A7u^2=3u

Click here to see answer by Fombitz(13828) About Me 

Question 300887: Preform the indicated operations and reduce all results to lowest terms. Assume the variables are restricted to values that prevent division by zero. (Steps would be appreciated)
%28x%5E2%2B3x%29%2F%28x%5E2-4%29-%286x%2B10%29%2F%28x%5E2-4%29

Click here to see answer by Fombitz(13828) About Me 

Question 301139: The length of an airplane hangar is 20 ft less than 4 times its height h. The width of the hangar is 10 ft more than 2 times its height. What polynomial expression represents the volume of the hangar?
Click here to see answer by mananth(12270) About Me 

Question 301191: factor completely
16c^2+1-8c

Click here to see answer by richwmiller(9135) About Me 

Question 301209: Solve:
x^3-3x^2-x+3=0
Looking for the roots.
Thank you

Click here to see answer by nerdybill(6958) About Me 

Question 301319: Simplify by removing factors of 1
v^2-49/7-v

Click here to see answer by math_goutam_jhargram(2) About Me 
Question 301319: Simplify by removing factors of 1
v^2-49/7-v

Click here to see answer by richwmiller(9135) About Me 

Question 301436: (x+3)(x+10)=0
(x+3) (x+10)=0
x=-3, x=-10

Hi I wanted to know if someone could help me withj this problem. I have already ansered it, but my professor told me- "I would have like to see each binomial equal to zero and then solved". Can someone help me with this?
Thank you!!! =)

Click here to see answer by Fombitz(13828) About Me 
Question 301436: (x+3)(x+10)=0
(x+3) (x+10)=0
x=-3, x=-10

Hi I wanted to know if someone could help me withj this problem. I have already ansered it, but my professor told me- "I would have like to see each binomial equal to zero and then solved". Can someone help me with this?
Thank you!!! =)

Click here to see answer by richwmiller(9135) About Me 

Question 301484: The sum of the squares of 2 consecutive odd integers is 34. Find the product of the integers.
Use a polynomial equation to solve this problem
It would be awesome if you included in your reply the initial equation. Thanks a bunch!

Click here to see answer by checkley77(12569) About Me 

Question 301482: Mark uses a slingshot to shoot a marble straight upwards with an initial velocity of 56 feet per second. Under these circumstances, the height of the marble is given by the formula +h=56t+-+16t%5E2+ where h is the height, in feet, after t seconds. How long does it take for the marble to reach a height of 40 feet?
Use a polynomial Equation to solve this problem
It would also be helpful for me to understand if you included the initial equation in the reply. Thanks!

Click here to see answer by checkley77(12569) About Me 

Question 301475: Please help me find the quotient: (4p^3-5p-3)/(2p+3)
Thank you,

Click here to see answer by richwmiller(9135) About Me 

Question 301468: The area of rectangle ABCD is +20+cm%5E2+. If the width is 7 cm more than 3 times the length, what are the dimensions of the triangle?
Use a polynomial equation to solve the problem
It would also be helpful if you included the initial equation so I could understand it better.

Click here to see answer by checkley77(12569) About Me 

Question 301451: 3t squared +14t-24 divided by 3t-4
Click here to see answer by checkley77(12569) 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