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

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

Question 199249: find the GCF of each pair of monomials
1. (4a^3 and 9a^4), (6x^2 and 14y^3), (5g^3 and 9g)
Click here to see answer by edjones(8007)

Question 199341: 1.) (r^-4) ( -6r^2t^2)
2.) w^3 / -6w^-6
3.) (k^6) (k^3)^5
4.) t^-9 / g^-9
Click here to see answer by RAY100(1637)

Question 199406: 2x + 5 = 9
Click here to see answer by jim_thompson5910(35256)

Question 199409: 3/4 x - 5 = 2/3 x
Click here to see answer by rfer(16322)

Question 199435: Suppose that the length of a rectangle is 3 inches longer than the width and that the perimeter of the rectangle is 78.
a) set up an equation involving only w, the width of the rectangle.
b) solve this equation algebraically to find the length of the rectangle. Find the width as well. Use the appropriate units of measure in your answers.
Length_____, Width______
Click here to see answer by checkley77(12844)

Question 199433: solve
5x + 6y = 18 for y
Click here to see answer by checkley77(12844)

Question 199507: How do you solve 10/x+2 - 3x+3/x
Click here to see answer by solver91311(24713)

Question 199517: Factor: 4x^3+12x^2+20x
[A]x(x^2+3x+5) [B]4x(x+3)(x+5) [C]x(4x^2+12x+20) [D]4(x^3+3x^2+5x)
Click here to see answer by rfer(16322)

Question 199500: a^2-81a^2-4a+324
Click here to see answer by rfer(16322)

Question 199514: Factor 10x^2-4x^4
[A]x^2(10-4x^2) [B]2x(5x-2x^3) [C]2x^2(5-2x^2)[D]2(5x^2-2x^4)
Click here to see answer by rfer(16322)

Question 199491: 5x to the 3rd power (7x)to the 2nd power
Click here to see answer by rfer(16322)

Question 199546: explain why a rational function can have a "hole". Give an exmple
Click here to see answer by stanbon(75887)

Question 199608: Find any variables for which the rational expression is undefined.
5m + 2
_________
m(squared) + m - 6
I tried to set the denominator equal to 0, then factor, but I am stuck on the factoring. Any help is appreciated.
Click here to see answer by jim_thompson5910(35256)

Question 199686: solve the given polynomial equation, use rational zero theorem and Descrates rule of sighns as an aid in optaining the first root to begin synthetic division to give the solution set for 8x^3-10x^2-7x-1=0 The solution set is?
Click here to see answer by Edwin McCravy(20054)

Question 199765: Factor the given polynomial completely and match your result to the correct answer below. If the polynomial is prime, say so.
10p^2 +9p+2
A) (2p+1)(5p+1)
B) (10p+2)(p+1)
C) (2p+1)(5p+2)
D) The polynomial is prime

Click here to see answer by rfer(16322)

Question 199767: Translate the verbal expression into an algebraic expression:
The difference of n and the square of k
A) (n-k)^2
B) n^2 - k
C) n-k^2
D) -n*k^2
Click here to see answer by RAY100(1637)

Question 199766: Factor the polynomial below completely, given that the binomial following it is a factor of the polynomial.
x^3-4x^2+x+6, x+1
A) (x+1)(x^2-5x+6)
B) (x+1)(x-3)(x-2)
C) (x+1)(x-3)(x+2)
D) (x+1)(x+3)(x-2)
Click here to see answer by RAY100(1637)

Question 199751: I need to use factoring to solve an equation. I know the procedure but need to review one thing:
Solve: -2x^2 + 13x -21 =0
I know this becomes:
2x^2 -13x +21 + 0
(2x ) (x )
what I need is what goes in each parenthenes. the correct products of -21 should equal the sum of -13. I only see 21 x -1, -21 x 1, 7 x -3, and -7 x 3. But none of these add up to -13.
Click here to see answer by rfer(16322)

Question 199763: Factor out the opposite of the greatest common factor and match your result to the correct answer below.
-3x^2+36
A) 3(-x^2 + 12)
B) 12-x^2
C) -12(x^2 - 3)
D) -3(x^2 - 12)
Click here to see answer by tutor_paul(519)

Question 199758: Find the indicated value of the polynomial. Choose from answers below.
P(x)=x^2 - 5x - 1, P(2)
A) -5
B) -7
C) 13
D) -1
Click here to see answer by tutor_paul(519)

Question 199776: Hello!
A polynomial P is given:
P(x) = 2x^3 + 7x^2 + 4x - 4
Find all the real zeros of P
thanks for the homework help!
Click here to see answer by jim_thompson5910(35256)

Question 199775: Hi!
Find all real zeros of the polynomial. Use the quadratic formula if necessary.
P(x) = 4x^3 - 7x^2 - 10x - 2
thanks for the homework help!
Click here to see answer by jim_thompson5910(35256)

Question 199774: Hello!
Find all real zeros of the polynomial. Use the quadratic formula if necessary
P(x) = x^4 + x^3 - 5x^2 - 4x + 4
thanks for your help!
Click here to see answer by jim_thompson5910(35256)

Question 199762: Find the quotient and the remainder. Choose from below.
(x^4-2x^2+3) divided by (x+1)
A) x^3+x^2-x-1,2
B) x^3-x^2-x+1,2
C) x^2-3x+3,0
D) x^2-3x+4,-1
Click here to see answer by jim_thompson5910(35256)

Question 199756: Write the equation y=1/3 x -2 in standard form using only integers and a positive coefficient for x. Choose from:
A) x+3y=6
B) x-3y=2
C) -x+3y=-6
D) x-3y=6
Click here to see answer by Alan3354(69443)

Question 199784: 36x^8y^6 + 18x^7y^4 please help me solve this problem
Click here to see answer by Alan3354(69443)

Question 199786: Please help me solve this problem 2x^2-14x+3x-21
Click here to see answer by jim_thompson5910(35256)

Question 199786: Please help me solve this problem 2x^2-14x+3x-21
Click here to see answer by RAY100(1637)

Question 199785: please help me solve this problem 2x(x-7)+3(x-7)
Click here to see answer by jim_thompson5910(35256)

Question 199785: please help me solve this problem 2x(x-7)+3(x-7)
Click here to see answer by checkley77(12844)

Question 199783: Please help me solve this problem 20x^6-10x^4
Click here to see answer by jim_thompson5910(35256)

Question 195874: all numbers undefined for 2/4x+5
Divide and Simplify 5/t divided by 10/t
Subtract and simplify 13/d-8 - 13/8-d
add and simplify 7/15r + 4/9r
Click here to see answer by Alan3354(69443)

Question 199749: Complete the ordered pair so that it satisfies the given equation. (Fill in the blank):
2x - 5y = -12:(-1,_)
Click here to see answer by checkley77(12844)

Question 199782: Hello!
Find a polynomial with integer coefficients and a leading coefficient of one that satisfies the given conditions.
P has degree 2, and zeros 1 + i and 1 - i.
thanks for the homework help!
Click here to see answer by solver91311(24713)

Question 199759: Find the opposite of the polynomial and match your result to the correct answer below.
-2r^2 - r + 3
A) 2r^2 + r - 3
B) 2r^2 - r + 3
C) 2r^2 + r + 3
D) 3 - r - 2r^2
Click here to see answer by solver91311(24713)

Question 199807: Y varies directly as x and inversley as the square of 2,y=25 when X=80 and Z =4 find Y WHEN X=52 AND Z=2?
Click here to see answer by vleith(2983)

Question 199810: Hi!
Find a polynomial with integer coefficients and a leading coefficient of one that satisfies the given conditions.
Q has degree 3, and zeros -9 and 1 + i
thanks for your help!
Click here to see answer by edjones(8007)

Question 199809: Hi!
Find a polynomial with integer coefficients and a leading coefficient of one that satisfies the given conditions.
P has degree 3, and zeros 3 and 1 + 4i.
thanks for your help!
Click here to see answer by solver91311(24713)

Question 199829: please help me solve 15x^2-49x+24
Click here to see answer by checkley77(12844)

Question 199844: Hi!
hi
A polynomial P is given.

(a) Find all zeros of P, real and complex.
7x^3+7x^2+6x=0
(b) Factor P completely
thanks for the homework help!
Click here to see answer by Alan3354(69443)

Question 199828: please help me solve 12x^2-26x+12
Click here to see answer by checkley77(12844)

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