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

Tutors Answer Your Questions about Polynomials-and-rational-expressions (FREE)

Question 334977: Write the polynomial subtraction in vertical form first, then preform the distribution by -1 and rewrite as addition.
(6x^3 -5x -4) - (2x^2 - 8x + 3)
I dont know if 6x^3 can be lined up with 2x^2 or not. I dont think they can since the powers are not the same. Can you help?
Click here to see answer by jim_thompson5910(35256)

Question 335034: You have a box that is 55cm on each side. The contents of this box is worth $0.17 per cubic cm. Using V=s^3, how much are the contents of this box worth?
I am guessing that V = value and s^3 = 55^3. I am not sure how to work this equation. Thank you for your help!!
Click here to see answer by solver91311(24713)

Question 335030: simplify:
x^5/2 - 2x^5 + 3x^5/2
Not even sure where to start.
Click here to see answer by stanbon(75887)

Question 334894: Factor
6t^2+2t
7x^4-21x^2
23w^3-36
3x^4-18x^3+21x^2
Click here to see answer by checkley77(12844)

Question 335045: I have a 7 layer torte that I am making. Each layer is 8 inches in diameter with cream topping on each layer. The recipe I have for the cream topping will cover 55 inches of torte. How many batches of cream topping will I have to make?
Use n = 3.14 approximate value.
I have no idea how to begin this equation. Thank you for your assistance!!
Click here to see answer by rfer(16322)

Question 335132: Problem is solving for X. (rational equation)
There should be a line under each one (between x+4 and x+5 and then another between x-2 and x+4) with ONE equal sign.
x+4 = x-2
x+5 = x+4
Thanks in advance!
Click here to see answer by Theo(13342)

Question 335134: Solve for x (rational equation)
there should be a line under each a+/- on top and ONE equal sign in middle.
4-a-10 = a^2-2
a+4 = a+4
Click here to see answer by Fombitz(32388)

Question 335083: Find the least common multiple of the two expressions 6w^9x^8 and 10u^8w^4x^3
Click here to see answer by Fombitz(32388)

Question 335219: If 1 is a root of the equation x^3-5x^2+17x-13=0, find the other two roots.

Click here to see answer by Fombitz(32388)

Question 334202: Hello there,
I need of help on solving this problem.
Solve the equation:
28 30
--- = 1 + ---
x-2 x+2
Thank you!
Click here to see answer by Fombitz(32388)

Question 334201: Hi,
I am having issues solving this kind of problems. Any help and suggestion is greatly appreciated.
Simplify the expression, using only positive exponents in your answer:
x^-8+y^-8
---------
x^-1+y^-1
Thanks!
Click here to see answer by Fombitz(32388)

Question 334224: Solve each equation
-3/x = x/-3
I think it is
-3x(-3/x) = -3x(x/-3)
9 = x^2
0 = x^2 - 9
0 = (x+3)(x-3)
I dont know what else. If I am right.
Click here to see answer by Fombitz(32388)

Question 335348: factor the trinomial
c^2+9c+14
c^2+7c+6

Click here to see answer by checkley77(12844)

Question 335490: Is 7x^2 - 12x + 6 prime or can it be factored?
Click here to see answer by jim_thompson5910(35256)

Question 335537: Factor 2x^2+17x+15

Click here to see answer by jim_thompson5910(35256)

Question 335537: Factor 2x^2+17x+15

Click here to see answer by Fombitz(32388)

Question 335591: Explain to your instructor how to simplify the expression below.
(3x3y4)(2x2y6)
The x's in both equations are squared n so is the y's.
Thanks
Click here to see answer by stanbon(75887)

Question 335593: (3x^3y^4)^2?
Click here to see answer by Fombitz(32388)

Question 335631: Find a polynomial for the sum of the areas of the circles shown in the figure (leave answers in terms of pi):
circle 1 r = r
circle 2 r = 3
circle 3 r = 2
I have worked the problem this far:
Area of A + Area of B + Area of C =
pi * r^2 + pi * 27 + pi * 4 =
Now I'm lost and here is the answer I get:
pi^3 + 108 + r^2
Please help.

Click here to see answer by Fombitz(32388)

Question 335665: Find the exact solution(s) of the system: x^2/4 - y^2 and x= y^2 + 1
a. (4, sqrt3) (4,-sqrt3) (-4, sqrt3) (-4, -sqrt3)
b. (4, sqrt3) (-4,sqrt3)
c. (2,1) (2, -1) (4, -sqrt3)
d. (4, sqrt3) (4,-sqrt3)
Click here to see answer by Fombitz(32388)

Question 335666: Simplify: 4m/5n^3 - n/2m
Click here to see answer by Fombitz(32388)

Question 335696: I am having a hard time figuring this word problem out. Can you please help.
Upstream, downstream. Junior�s boat will go 15 miles per
hour in still water. If he can go 12 miles downstream in the
same amount of time as it takes to go 9 miles upstream,
then what is the speed of the current?
Click here to see answer by Fombitz(32388)

Question 335702: I need help on this
A 4-ft by 6-ft picnic table is placed on an outdoor patio measuring x ft by (x + 2) ft. Find a polynomial for the remaining open space on the patio (in square feet).

Click here to see answer by jim_thompson5910(35256)

Question 334157: Please help me solve the equation 3 - 6/x-2 divided by 8 - 16/x-2
Click here to see answer by Fombitz(32388)

Question 335703: I need help on this problem:
An object's altitude, in meters, is given by the polynomial h + vt - 9.8t2, where h is the height in meters from which the launch occurs, v is the initial upward speed in meters per second, and t is the number of seconds for which the rocket is airborne. A pebble is shot upward from the top of a building 190 meters tall. If the initial speed is 40 meters per second, how high above the ground will the pebble be after 2 seconds? Round results to the nearest tenth of a meter.
Click here to see answer by solver91311(24713)

Question 335738: Im having a lot of trouble on this problem and i really need some help if you have the time. Here is the problem.
Missing proceeds. Ruth and Betty sell apples at a farmers
market. Ruth�s apples sell at 2 for $1 while Betty�s slightly
smaller apples sell at 3 for $1. When Betty leaves to pick
up her kids they each have 30 apples and Ruth takes
charge of both businesses. To simplify things, Ruth puts all
60 of the apples together and sells them at 5 for $2. When
Betty returns, all of the apples have been sold, but they
begin arguing over how to divide up the proceeds. What
is the problem? Explain what went wrong.
Click here to see answer by jim_thompson5910(35256)

Question 335745: If a vendor charges p dollars eac for rugby shirts, then he expects to sell 2000-100p shirts at a tournament.
A) Find a polynominal Rp that represents the total revenue when the shirts are p dollares each. Is this correct R(p) 2000-100p?
B) Find R(5), R(10), and R(20).
Click here to see answer by jim_thompson5910(35256)

Question 335854: (6x-1)
Click here to see answer by Alan3354(69443)

Question 335904: I need to factor x^2+8x+16
So far i have
(x ) (x ) I know the factors of 16 are 1,2,4,8,16 and they need to add up to 8. where do i go from here?
Click here to see answer by Edwin McCravy(20054)

Question 335875: I tried doing this problem a^2-b^2/a-b and my answer in reduced form was a^3 + b^3. Is this correct?
Click here to see answer by ankor@dixie-net.com(22740)

Question 335882: x^2-7x-18
Click here to see answer by jim_thompson5910(35256)

Question 335888: A 3-ft by 6-ft picnic table is placed on an outdoor patio measuring x ft by (x + 3) ft. Find a polynomial for the remaining open space on the patio (in square feet).

Click here to see answer by ankor@dixie-net.com(22740)

Question 335981: FACTOR BY GROUPING
X^3 + 8X^2+6X +48
A)(X+8)(X^2-6)
B)(X+8X)(X^2+6)
C)(X+8)(X^2+6)
D)(X-8)(X^3+6)
SO I KNOW IT IS EASIER TO MAKE THEM TWO PROBLEMS BUT I DONT KNOW WHY I CANT GET THE RIGHT ANSWER PS. WHEN I DO THE ^ SYMBOL IT TO THE POWER OF NOT TIMES...

Click here to see answer by jim_thompson5910(35256)

Question 335908: what the complete factored form of the polynomial w^3x^2y^4-w^6x^3y^2
Click here to see answer by checkley77(12844)

Question 335948: Give the numerical value of the GREATEST ZERO for the polynomial function P(x) = x^2 - 3x - 10. Greatest value is...?
Click here to see answer by jrfrunner(365)

Question 335334: A goldsmith has teo alloys that are different purities of gold. The first three-fourths pure gold and the second is five-twelfths pure gold. How many ounces of each should be melted and mixed in order to obtain a 6-ounce mixture that is two-thirds pure gold?
Click here to see answer by nyc_function(2741)

Question 335335: A goldsmith has two alloys that are different purities of gold. The first three-fourths pure gold and the second is five-twelfths pure gold. How many ounces of each should be melted and mixed in order to obtain a 6-ounce mixture that is two-thirds pure gold?
Click here to see answer by nyc_function(2741)

Question 336150: The problem is factoring polynomials
a^2-10a+24
and
3x^2+18x+27
Thanks!
Click here to see answer by jim_thompson5910(35256)

Question 336182: Rational Expressions
Find all numbers for which the rational expression is undefined:
- 4/3x
Is there a solution, set of solutions or all real numbers are undefined?
If there is a solution or solutions, what are they?

Thanks in advance.
Click here to see answer by jim_thompson5910(35256)

Question 336195: Rational expression:
q+7/q = -8
(reads q + 7 over q = -8)
What is the solution?
Thanks in advance.

Click here to see answer by stanbon(75887)

Question 336193: Rational expressions:
w/6 - w/15 = 1/6 (written out) (w over 6 - w over 15 = 1 over 6)
What is the solution?
Thanks in advance.

Click here to see answer by jsmallt9(3758)

Question 336341: x^3+7x^2-8x-56
Click here to see answer by jim_thompson5910(35256)

Question 336539: 20x^2-41x+20=
Click here to see answer by jim_thompson5910(35256)

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, 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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