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

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

Question 43795: This one is stumping me. Can anyone show me the steps and solution?
Factor each polynomial completely, given that the binomial following it is a factor of the polynomial.

x³ - 4x² - 3x – 10, x – 5

Click here to see answer by Nate(3500)

Question 43809: Add the given polynomials:
6x-7 and 4x + 6
Click here to see answer by tutorcecilia(2152)

Question 43809: Add the given polynomials:
6x-7 and 4x + 6
Click here to see answer by prabhjyot(164)

Question 43824: One last problem for today...
Factor completely

4m² + 20m + 25

Click here to see answer by stanbon(57940)

Question 43751: find the values of each polynomial for the given values of the variable
x=-3
x=-2
-x^2-5x-6
Click here to see answer by jake_6233(74)

Question 43823: I'm trying to help my child with her homework and I'm clueless. Can anyone show me how to answer this and give me the solution?
Factor each polynomial completely.
10a² + ab -2b²

Click here to see answer by stanbon(57940)

Question 43822: I'm trying to help my child with her homework and I'm clueless. Can anyone show me how to answer this and give me the solution?
Factor each polynomial completely
2a² - 4a -2

Click here to see answer by stanbon(57940)

Question 43821: I'm trying to help my child with her homework and I'm clueless. Can anyone show me how to answer this and give me the solution?
Complete the factorization of each binomial
a² - a = -a )

Click here to see answer by stanbon(57940)

Question 43826: Differences of squares pattern to factor the following:
(x+6)^2 - (x+9)^2
Click here to see answer by jake_6233(74)

Question 43801: I need to find the GCF for the group in the problem below, and the steps to reach the solution. Can anyone help?

6a²b, 9ab², 15a²b²
Click here to see answer by jake_6233(74)

Question 43873: I need steps and solution to this equation:
1/18h² - 1/2h + 1 = 0

Thanks
Click here to see answer by aaaaaaaa(138)

Question 43872: Can anyone offer steps and solution for this one?

Factor each polynomial. If the polynomial is prime, say so.

18z + 45 + z²

Click here to see answer by Earlsdon(6294)

Question 43871: Can anyone give me some help with this? I need the steps and solution:

Factor completely

-3t³ + 3t² - 6t

Click here to see answer by stanbon(57940)

Question 43871: Can anyone give me some help with this? I need the steps and solution:

Factor completely

-3t³ + 3t² - 6t

Click here to see answer by Earlsdon(6294)

Question 43903: Find the Prime factors of:
8x^3 - 125
Click here to see answer by stanbon(57940)

Question 43894: I dont know how to solve these problems completely.
1. 20x^4-12x^3+8x^2
2.6x^2+2x-20
3.5w^2-20
4.5y^4-405
Click here to see answer by gsmani_iyer(180)

Question 43915: Erm.. i would like to find out what is 2ac?Thanks
Click here to see answer by AnlytcPhil(1278)

Question 43930: Hello, can some one please help me factor these problems. I'm a little confused. Thanks.
1.3x^2+9x-30
2.m^3-27
3.4a^4b+32ab^4
4.15t^3-20t^2-20t
Click here to see answer by longjonsilver(2297)

Question 43897: Help please! is L = x H = 6 and W = 8? I have worked this and not sure I am using correct numbers for height and width... ty so much!
An open-top box is to be constructed from a 6 by 8 foot rectangular cardboard by cutting out equal squares at each corner and the folding up the flaps. Let x denote the length of each side of the square to be cut out.

a) Find the function V that represents the volume of the box in terms of x.

b) Graph this function and show the graph over the valid range of the variable x.

c) Using the graph, what is the value of x that will produce the maximum volume?
Click here to see answer by adamchapman(301)

Question 43870: Can anyone give me some help with this? I need the steps and solution:
Factor each polynomial

a² - a – 35
Click here to see answer by fractalier(2101)

Question 43820: use the difference of squares pattern to factor the following.
(x+6)^2 - (x+9)^2.
Click here to see answer by fractalier(2101)

Question 43964: I have a couple more problems today I need steps and solutions for if anyone would be so kind.

Factor each difference or sum of two cubes.

u³ - 125v³
Click here to see answer by fractalier(2101)

Question 43968: Can anyone help with this one? I need solution and steps.

Factor each polynomial completely.

x³y + 2x²y² + xy³
Click here to see answer by fractalier(2101)

Question 43966: I have a couple more problems today I need steps and solutions for if anyone would be so kind.

Factor each polynomial completely, given that the binomial following it is a factor of the polynomial.

x³ + 2x² - 5x – 6, x + 3
Click here to see answer by fractalier(2101)

Question 43977: Good afternoon gang. Can anyone show me the steps and answer for this problem?
Find the GCF for this group of monomials.

16x²z, 40xz², 72z³

Much appreciated.
Click here to see answer by jake_6233(74)

Question 43963: I have a couple more problems today I need steps and solutions for if anyone would be so kind.
Solve each equation using zero factor property.

2w(4w + 1) = 1

Click here to see answer by jake_6233(74)

Question 43980: How do I simplify 3n-4 divided by 4-3n and how do I simplify 6y cubed + 12y over 9y cubed + 18y squared

Click here to see answer by stanbon(57940)

Question 44010: Factor the following trinomial completely.
2a^3-52a^2b+96ab^2
Click here to see answer by adamchapman(301)

Question 43812: Find a polynomial coefficient 1 and degree 3 that has 1, 1, and 3 as roots. I came up with x^3-3x^2+x-3 but not sure if it's right. thanks for looking it over.
Click here to see answer by Nate(3500)

Question 44065: I am not sure of this problem, can someone help me with this one?
Use the five properties of exponents to simplify each of the following expressions.
(y5)3(y3)2
_____________________
(y4)4
(all the numbers are suppose to be exponents)

Click here to see answer by fractalier(2101)

Question 44121: Subract usin gthe vertical method
7x^2+6x from 9x^2-3
Click here to see answer by adamchapman(301)

Question 44121: Subract usin gthe vertical method
7x^2+6x from 9x^2-3
Click here to see answer by fractalier(2101)

Question 44119: subract
4x-2x^2+4x^3 from 4x^3+x-3x^2
Click here to see answer by adamchapman(301)

Question 44120: add using the vertical method
5x^2+2x-4
x^2-2x-3
and
2x^2-4x-3
Click here to see answer by fractalier(2101)

Question 44110: perform the indicated calculation. write your result in scientific notation.
(6*10^12)(3.2*10^8)/(1.6*10^7(3*10^2)
Click here to see answer by fractalier(2101)

Question 44107: I am so confused with these problems....
What expression raised to the fouth power is 81x (12 to the power)y (8 to the power) z (16 to the power).
All number except the 81 are exponents.
Click here to see answer by fractalier(2101)

Question 44109: simplify the following expression. write your answers with positive exponents only.
(x^2)^-3(x^-2)/(x^2)^-4
Click here to see answer by fractalier(2101)

Question 43813: The polynomial f(x)divided x-3 results in a quotient of x^2+3x-5 with a remainder of 2. Find f(3). my answer is -2, could that be right. thanks again.
Click here to see answer by fractalier(2101)

Question 44141: Write each expression in simplest form

4r2 - 25s2 / 2r2 + 3rs - 20s2
Thank you!!!
Click here to see answer by adamchapman(301)

Question 44144: h=-16t^2+48t+160
how many seconds til it hits the ground?
Click here to see answer by adamchapman(301)

Question 44140: Write each expression in simplest form

4r2 - 25s2 / 2r2 + 3rs - 20s2
Thank you!!!
Click here to see answer by benni1013(197)

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