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

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

Question 70646: Factor each polynomial by grouping the first two terms and the last two terms.
x^3- 4x^2 + 2x -8
I am confussed an need some help. Thanks.
Click here to see answer by venugopalramana(3286)

Question 70649: Use the ac test to determine which of the following trinomial can be factored. Find the values of m and n for each trinomial that can be factored.
x^2 + 2x - 15

________________________
x^2 - 3x + 7

I am having trouble figuring these out. Can someone help explain this to me so I can better understand this. Thanks
Click here to see answer by venugopalramana(3286)

Question 70673: Factor completely: 9x^2 + 12xy + 4x^2 -25
My solution to this problem was (3x+2y)-25
I am not too confident that this is correct. If this is not correct could you assist me with this problem please. Thanks.
Click here to see answer by checkley75(3666)

Question 70672: Factor each polynomial completely. To begin, state whcih method should be applied as the first step, giventhe guidelines of this section. Then continue the exercise and factor each polynomial completely.
2p - 6q + pq - 3q^2
I am not sure I did this right but the answer I got was:
(2p-6q)+(qp-3q^2)
_________________________________________________________
m^4 - 9n^4
again I am not sure I did these right my answer was:
m^4 - 9n^2*2
Are these correct? If not could you show me how to do them the correct way.
Thanks.

Click here to see answer by checkley75(3666)

Question 70671: Rewrite the middle term as the sum of two terms and then factor completely.
12w^2 + 19w + 4
The answer I got for this problem was:
12w^2 + 3w + 16w + 4
Is this correct? Thanks
______________________________
4z^3 - 18z^2 - 10z
The answer I came up with for this problem was:
(2z)(2z^2 - 9z - 5)
Is this correct? Thanks

Click here to see answer by stanbon(57966)

Question 70645: Simplyfy equation
((1/x)/(2/x)-(1/(1-x)))
Click here to see answer by ankor@dixie-net.com(15746)

Question 70717: #1) (2x-3) (4x+5)=0
#2) X to the second power -3x=0

How do I solve this?

Click here to see answer by stanbon(57966)

Question 70738: X^(-3)-X^(-2)-X^(-1). When X+3=1
Me and my father tried to find the answer for this problem for my brother but we couldn't figure out how to get the answer to equal 1/8, which is the answer the book gives us. We are looking to find out if the answer the book gives us is right or if we were just missing a step in finding the answer.
Click here to see answer by ankor@dixie-net.com(15746)

Question 70647: Factor each plynomial completely by factoring out any common factors and then factor by gouping. Do not combine like terms.
3a^3+3ab^2 +2a^2 b + 2b^3
I need some help to understand this problem. Thanks
Click here to see answer by 303795(595)

Question 70746:
Click here to see answer by mathman409(67)

Question 70799: Simplify. (m^4)^3(m^2)^9/(m^3)^2
I came up with two answers for this problem and not sure which one is the correct one and need some help.
The first one I came up with is m^11
the second one is m^27
Thanks.
Click here to see answer by jim_thompson5910(28715)

Question 70708: (3x^2+2x^3)-(3x^2+7x-1)
Click here to see answer by jim_thompson5910(28715)

Question 70803: Find the value of the polynomial x^3 -4x when x = -2.
The answer I came up with was 0 or -8+8 is this correct?
Thanks
Click here to see answer by josmiceli(9817)

Question 70803: Find the value of the polynomial x^3 -4x when x = -2.
The answer I came up with was 0 or -8+8 is this correct?
Thanks
Click here to see answer by jim_thompson5910(28715)

Question 70802: Classify the following, if possible. 9x^2 -10xy + y^2
a) Mononomial
b) binomial
c) trinomial
d) not classified
I am not sure which one this one is and need some help. Thanks.

Click here to see answer by jim_thompson5910(28715)

Question 70807: Subtract: 5b^2 - 2b + 2 from 10b^2-3b+6.
I factored this problem but I am not sure that it is right and need to double check to be sure that I am not doing this wrong before continuing. Thanks.
My answer was.
-(5b^2+5b-8)
Click here to see answer by jim_thompson5910(28715)

Question 70809: Factor. -21x^3 +49x ^2
Just need to verify my answer which was -7x^2(3x - 7)
Thanks
Click here to see answer by jim_thompson5910(28715)

Question 70830: Factor Completely. x^2-2x+1
I need some help, when figuring this problem I keep coming up with same expression.
The options for this question is:
a)(x+1)(x+1)
b)(x-1)(x+1)
c)(x+1)(x+1)
d)(x-1)(x-1)
Thanks for your help
Click here to see answer by stanbon(57966)

Question 70823: Divide x^3 + 2x^2 + x + 12/ x + 3
I am stuck: I got to this point and need some help....
x^3 + 2x^2 +x + 12
x^3 + 3x^2
_ x^2 +x + 12
_ x^2 -3x
4x + 12

This is where I got stuck. Thanks for your help.

Click here to see answer by bucky(2189)

Question 70832: Factor Completely. 6z^3-27z^2+12z
I came up with a completely different answer than the options given and need to verify if this is correct.
my answer is:
3z(z-4)(2z-1)
the options for this question is:
a)z(6z-1)(z-12)
b)3z(2z-1)(z-4)
c)z(6z+1)(z+12)
d)z(2z-1)(z-4)
Thanks verifying, I appreciate it.
Click here to see answer by bucky(2189)

Question 70888: I have two problems: One is How do I get thex,y points for the problem y=x^5
I used the graphing calculator and got the graph but I need to list x,y points.
Next I need to solve x^2-12x=-36
Would I move the -36 to the left and have x^2-12x+36=0?
Click here to see answer by stanbon(57966)

Question 70892: 5x2 = 2x - 7x2
Click here to see answer by checkley75(3666)

Question 70891: Could you help me the problem 4x^3-14x^6. I'm trying to factor it but I don't know what to pull out!
Click here to see answer by checkley75(3666)

Question 70840: Factor Completely. y^3-12y^2+36y
I am trying to figure this problem out and I came with y(y^2-12y+36)
I wanted to check to make sure this was right before moving on. Thanks
Click here to see answer by jim_thompson5910(28715)

Question 70951: I need help on Squaring Binomials. (5a+3b)^2
I'm in homeschool and my parents cant help me so i would appreciate it if you did! Thanks a lot!!!
Click here to see answer by bucky(2189)

Question 70970: Factor Completely. x^2 - 2x +1
I am having trouble solving this problem and need some help. Thanks

Click here to see answer by jim_thompson5910(28715)

Question 70972: Solve. X^2 = -6x
I am confussed with this one and cannot figure this one out. I appreciate your help. Thanks
Click here to see answer by Earlsdon(6294)

Question 70972: Solve. X^2 = -6x
I am confussed with this one and cannot figure this one out. I appreciate your help. Thanks
Click here to see answer by jim_thompson5910(28715)

Question 70969: Factor Completely. 5a^2 -125
I foiled this problem and came up with the same expression. I need some help. Thanks
Click here to see answer by Earlsdon(6294)

Question 70967: Factor Completely. y^4 + 3y^3 -5y^2 -15y
I am struggling with this problem and need some assistance with this. Thanks
Click here to see answer by hailu(13)

Question 70967: Factor Completely. y^4 + 3y^3 -5y^2 -15y
I am struggling with this problem and need some assistance with this. Thanks
Click here to see answer by ankor@dixie-net.com(15746)

Question 70968: Rewrite the middle term as the sum of two terms and them factor completely.
25x^2 + 35x + 12
I am not understanding the rewriting the middle terms and need some help.Thanks

Click here to see answer by ankor@dixie-net.com(15746)

Question 70988: Please help me solve: 3x-2 over 4x = 3 over x + 1 over 2
Click here to see answer by Earlsdon(6294)

Question 70869: Please help me solve this equations
1. 12+(x-9)=3(x-2)
2. 1/5x-2=2/5x+4
3.2x-3(x+4)=2(x-5)
4.3/7x+5=5/7x-1
5. 2x-7(x-2)=3(x-4)

Click here to see answer by ankor@dixie-net.com(15746)

Question 71065: I need help on factoring polynomials and trinomials. Heres one question:
6p^2m-6mpq+21mp-21mq
Click here to see answer by checkley75(3666)

Question 71067: Factor completely: 27x^6-8y^9
Click here to see answer by ankor@dixie-net.com(15746)

Question 71121: 10y^2+9y+2 Factor completely
I know that 10 is the GCF and i factor out 5 but I don't know what to do with the 9y. I missed a class and the tutors at school donl't work weekends.
If you could show me how it is done. It would help. I cannot find an example in the book that compares
Click here to see answer by checkley75(3666)

Question 71119: 34x+51
Click here to see answer by checkley75(3666)

Question 71147: The perimeter of a rectangle is 32", and the area is 60 square inches. Find the length and width of the rectangle.
Click here to see answer by jim_thompson5910(28715)

Question 71152: i know the answer i just dont know how it completely solved
facoring poly's x^3-8x^2+7x its homework thankyou
Click here to see answer by Earlsdon(6294)

Question 71151: x^3-8x^2+7x
= x(x^2-8x+7)
= x(x^2 - x - 7x + 7)
= x( (x^2-x) - (7x-7) )
= x( x(x-1) - 7(x-1) )
= x(x-1)(x-7) This is the Answer.
Click here to see answer by sudhir(14)

Question 71161: How do you simplify. It is under Problem Set 4.1 number 47.
Click here to see answer by mathman409(67)

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