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

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

Question 631387: Factor the sum of 2 cubes completely. 125+m^3
Is this right? (m+5)(m^2-5m+25)
Click here to see answer by tutor_paul(519)

Question 631429: what is (3a-5)-(5a+1)?

Click here to see answer by tutor_paul(519)

Question 631432: what is (3a-5)-(5a+1)?
Click here to see answer by 55305(86)

Question 631450: F(x)= X^3-3x^2+12x-10
Find the complex zeros of the polynomial function. Write f in factored form.
Click here to see answer by ewatrrr(24785)

Question 631449: Simplify:
5 / (y + 2) - (5 - y) / 2
Click here to see answer by Tatiana_Stebko(1539)

Question 631460: I need to FRACTOR completely. The following two problems:
Problem 1) 78x^2y +48xy^2+8y^3
here is what I got ..Is it right:
72x^2y+48xy^2+8y^3
= 8y ( (3x+y) ^2)
= 8y (3x+y)^2
answer: 8y(3x+y)^2
Problem 2) 18x^2-32y^2
here is what I did to this one..
18x^2-32y^2
=2 (( 3x-4y) (3x+4y ))
=2 (3x-4y) (3x+4y) sign of the term will not change.
Are my solutions correct?
Click here to see answer by jim_thompson5910(35256)

Question 631467: completely factor the expression 4q^2+27r^4
a. 31q^2+27r^4
b. 27r^4(4q^2+1)
c. 4q(q+27r)
d. prime
If you could please explain I would really appreciate it
Click here to see answer by jim_thompson5910(35256)

Question 631477: completely factor the expression r^2-2r+1
a. prime
b. r(r-2)+1
c. (r-1)(r-1)
d. (r+1)(r-1)
If you could please explain I would really appreciate it
Click here to see answer by jim_thompson5910(35256)

Question 631469: find the product of (x-2y)^2
a. x^2+4y^2
b. x^2-4xy+4y^2
c. x^2+2xy+4y^2
d. x^2+4xy+4y^2
If you could please explain I would really appreciate it
Click here to see answer by ewatrrr(24785)

Question 631475: completely factor the expression 2a^3-128
a. 2(a-4)(a^2+4a+16)
b. 2(a^3-64)
c. prime
d. 2(a-4)^3
If you could please explain I would really appreciate it
Click here to see answer by jim_thompson5910(35256)

Question 631473: solve the equation 3z^3-300z=0
a. z=0
b. z=-4 and z=1
c. prime
d. z=0, z=-10
If you could please explain I would really appreciate it
Click here to see answer by jim_thompson5910(35256)

Question 631479: comp;etely factor the expression 7(x-y)-z(x-y)
a. (x-y)(7-z)
b. (x-y)^2(7-z)^3
c. prime
d. (x-y)(7+z)^3
If you could please explain I would really appreciate it
Click here to see answer by jim_thompson5910(35256)

Question 631478: perform the indicated operations on the expression
(5a^3+3a-2)-(4a^3+a^2+5)
a. a^3+a^2+3
b. a^3-a^2+3a-7
c. 20a^3+3a^2-10
d. 3a^6-7
If you could please explain I would really appreciate it
Click here to see answer by jim_thompson5910(35256)

Question 631470: completely factor the expression 16x^4-81y^4
a. (2x+3y)(2x-3y)(4x^2+9y^2)
b. prime
c. 0
d. (4x^2-9y^2)(4x^2+9y^2)
If you could please explain I would really appreciate it
Click here to see answer by Tatiana_Stebko(1539)

Question 631426: factor x four squared minus x 3 squared minus 12 x 3 squared
Click here to see answer by solver91311(24713)

Question 631481: simplify the expression 2ab^4-3a^2b^2-ab^4+a^2b^2
a. ab^4-2a^2b^2
b. 0
c. a^2b^8-a^2b^8-2a^4b^4
d. 2a^2b^8-3a^4b^4
If you could please explain I would really appreciate it
Click here to see answer by ewatrrr(24785)

Question 631466: find the product of -3a^3b(2a^0b^4-4a^2b^3)
A. -6b^5+14a^5b^4
b. 12a^5b^4-6a^3b^5
c. 14a^5b^4-6b^5
d. -6b^4+12a^6b^3
if you can show me how this works I would really appreciate it
Click here to see answer by Tatiana_Stebko(1539)

Question 631556: how do i find the product of (x-6)^2 would it be 6x^2?
Click here to see answer by stanbon(75887)

Question 631560: how do i factor 8x^2-24x+18? i'm quite confused and can't seem to find a solution!
Click here to see answer by richwmiller(17219)

Question 631560: how do i factor 8x^2-24x+18? i'm quite confused and can't seem to find a solution!
Click here to see answer by MathTherapy(10549)

Question 631561: find leading coefficient degree polynomial f(x) -7x^4+9x^3+1 x^2+9
Please help me solve - thanks!
Click here to see answer by Edwin McCravy(20054)

Question 631598: 5x over 8 plus 10 equals 2
Click here to see answer by Maths68(1474)

Question 631628: A person drives 390 miles on a stretch
of road. Half the distance is driven traveling 5
miles per hour below the speed limit, and half the
distance is driven traveling 5 miles per hour above
the speed limit. If the time spent traveling at the slower
speed exceeds the time spent traveling at the faster
speed by 24 minutes, find the speed limit.
Click here to see answer by mananth(16946)

Question 631633: what is (x-1)^2-9=0....in factoring,extracting the square root,completing the square,quadratic formula,graphing

Click here to see answer by Maths68(1474)

Question 631646: Have I done this problem correctly?
(q+3/4)(q+3/4)= q^2+3/4q+9/16
Click here to see answer by Maths68(1474)

Question 631646: Have I done this problem correctly?
(q+3/4)(q+3/4)= q^2+3/4q+9/16
Click here to see answer by jim_thompson5910(35256)

Question 631640: I thought I understood this, but I'm completely lost. Can you please help me to understand it?
(t4 − 2t2 + 4t − 5) � (t2 − 3)
Click here to see answer by Edwin McCravy(20054)

Question 631727: solve the equation x^2+4x-45=0
a. x=15 and x=30
b. x= 9 and x=-5
c. no solution
d. x=-9 and x=5
I think its c but I just need to make sure I am doing this right
Click here to see answer by htmentor(1343)

Question 631724: completely factor the expression a^2+4b-ab-4a
a. (a+b)(a-4)
b. (a-b)(a-4)
c. (a+b)(a+4)
d. prime
If you could please help me understand this ty
Click here to see answer by lenny460(1073)

Question 631729: completely factor the expression 48u^4v^4-18u^2v^2-3u^8v^5
a. nonfactorable
b. 3u^2v^2(16u^2v^2-6-u^6v^3)
c. 3(16u^4v^4-6u^2v^2-u^8v^5)
d. u^2v^2(48u^2v^2-18-3u^6v^3)
I am lost on this one for some reason I cant figure it out
Click here to see answer by ewatrrr(24785)

Question 631721: solve the equation 1/4a^2 + 3/4a = 1
a. a =4 and a=1
b. a= -4 and a = 1
c. no solution
d. a = 3/4
If you could please help me understand this ty
Click here to see answer by htmentor(1343)

Question 631728: simplify the expression -2(4y^2+3z^3+5)+3(2y^2-5z^3+3)
a. -14y^2z^3+6y^2-1
b. -21z^3-2y^2-1
c. 9z^3-14y^2+19
d. 21z^3 +2y^2+1
I think the answer is c. If I am wrong can you show me how its not c, ty
Click here to see answer by ewatrrr(24785)

Question 631769: solve the following equation: 1/2+7/y=2+1/y
a. y=-4
b. y=4
c. y=3
d. y=-3
Click here to see answer by ewatrrr(24785)

Question 631774: simplify -a^2b^-2 / a^-2b^5/a^4b^-2
a. -a^8 b^3
b. -a^4 b^3
c. -a^4 b^-7
d. -a^8 b^-7
Click here to see answer by ewatrrr(24785)

Question 631776: Please help me understand how to do this..
Perform the indicated operations and simplify the following expression:
2z-1/z^2+z-6 - 3z-5/z^2-2z-15 + 2z-3/z^2-7z+10
Click here to see answer by ewatrrr(24785)

Question 631736: completely factor the expression y^2+12y+35
a. (y-7)(y-5)
b. (y+7)(y-5)
c. (y+7)(y+5)
d. prime
Click here to see answer by Edwin McCravy(20054)

Question 631808: 4x^2 - 3x -7 =0
Click here to see answer by ewatrrr(24785)

Question 631833: A rectangle has length 4x �1 and a width 2x + 1, write an algebraic expression for the area of the rectangle .
Click here to see answer by ewatrrr(24785)

Question 631835: If the area of a rectangle is x2 + 5x + 4, find algebraic expressions representing possible lengths and widths of the rectangle.
Thank you.
Click here to see answer by ewatrrr(24785)

Question 631841: If the area of another rectangle is x^2 + 5x + 4, find algebraic expressions representing possible lengths and widths of the rectangle.
Click here to see answer by ewatrrr(24785)

Question 631810: -6c+8+4c=-3c+13
Click here to see answer by jim_thompson5910(35256)

Question 631865: Multiplty:show your steps please.
(2x-4)(x^2-x-1)

This is my last problem, and my brain is frazzled. Can you help?
Thanks in advance.

Click here to see answer by richwmiller(17219)

Question 631887: 5x^4-20x^2=0
solve the polynomial equation by factoring and then using the zero product principle.
Click here to see answer by solver91311(24713)

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