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

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

Question 86428: I have a homework question that states: graph the rational function. Find any vertical and horizontal asymptotes. f(x)=(3x^2-2x-1)/(x^2-x-6)
Click here to see answer by scianci(186)

Question 86426: I need help with this question: find the horizontal asymptote of the graph of f(x)=4/(x-9)
Click here to see answer by scianci(186)

Question 86424: I need help with this homework question: find the polynomial written as a product of linear factors. f(x)=x^4-15x^2+10x+24
Click here to see answer by stanbon(75887)

Question 86479: Factor completely
10a^2+ab-2b^2
Click here to see answer by chitra(359)

Question 86478: factor completely
-3t+3t^2-6t
Click here to see answer by chitra(359)

Question 86477: Area of a painting. A rectangular painting with a width of x centimeters has an area of x^2+50x square centimeters. Find a binomial that represents the length.
Click here to see answer by chitra(359)

Question 86503: State which method should be applied as the first step for factoring the polynomial 6x^3+9x...
Factor completely...
1. 6b^4-18b^3-60b^2
2. 5a^2-125
3. y^3-12y^2+36y
4. b^2-ab-6a^2
5. 8m^4n-16mn^4
Click here to see answer by tutorcecilia(2152)

Question 86506: State which method should be applied as the first step for factoring the polynomial 6x^3+9x..
a. find the gcf
b. grop the terms
c. factor using the difference of squares
d. us the ac method or trail and error
Use the ac test to determine if the following trinomial can be factored
x^2+2x+3
Write in simplest form...
48a^5b/12ab^2
Click here to see answer by tutorcecilia(2152)

Question 86528: write in simplest form
x^2+12x+27
over
x^2-81
Click here to see answer by tutorcecilia(2152)

Question 86528: write in simplest form
x^2+12x+27
over
x^2-81
Click here to see answer by Earlsdon(6294)

Question 86527: what values for x must be excluded in the following fraction
x+8
over
5

Click here to see answer by tutorcecilia(2152)

Question 86538: Add. Express your answer in simplest form.
x
over
14
plus
3x
over
14
Click here to see answer by tutorcecilia(2152)

Question 86525: write in simplest form
48a^5b
over
12ab^2
Click here to see answer by jim_thompson5910(35256)

Question 86535: solve
3
over
x
equals
15
over
x
Click here to see answer by jim_thompson5910(35256)

Question 86537: divide
2
over
x^6
divided by
4
over
x^2
Click here to see answer by jim_thompson5910(35256)

Question 86518: During rush hour, Bill can drive 15 miles using the side roads in the same time that it takes to travel 10 miles on the freeway. If Bill's rate on the side roads is 8 mi/h faster than his rate on the freeway, find his rate on the side roads
A)18
B)26
C)16
D)24
Click here to see answer by Nate(3500)

Question 86485: I have a problem that says "Simplify: x over x^2+5x+6 minus 2 over x^2+3x+2
I knew how to do this at one time but having been out of Algebra for a while I've forgotten. Could you please help? Thanks
Click here to see answer by tutorcecilia(2152)

Question 86514: A plane took 1 hour longer to travel 560 miles on the first portion of a flight than it took to fly 480 miles on the second portion. If the speed was the same for each portion, what was the flying time for the second part of the trip?
A)8 hours
B)7 hours
C)5 hours
D) 6 hours
Click here to see answer by Edwin McCravy(20054)

Question 86536: add express in simplest form
x^2
over
x+10
plus
9x-10
over
x+10
Click here to see answer by jim_thompson5910(35256)

Question 86531: write in simplest form
9x^9
over
36x^17
Click here to see answer by jim_thompson5910(35256)

Question 86558: 1.A triangle has sides 2x-5, 3x+1 and 4x+2. Find the polynomial that represents its perimeter.
2. Remove the parentheses...
-(3x+5y)
-(4m-3n)
3. Write using exponents and simplify if possible...
(-3x)^-2
4. Add...
5y-4 and 2y^2-8y

Click here to see answer by checkley75(3666)

Question 86565: Mine is actually "MULTiPLyiNG POLyNOMiALs by MONOiALs".

I just don't get this at all.
the problem:
2(2m-3)-3(2m-1)=9
heres another one:
4(3a-1)-5(1-a)=8

can you please answer them=]

it will help me out alot..

Click here to see answer by checkley75(3666)

Question 86425: can anyone help me with this question: find a polynomial with integer coefficients that has the given zeros 3, 3+i
Click here to see answer by ankor@dixie-net.com(22740)

Question 86523: subtract and write in simpliest form
5x
over
x-7
subtracted
35
over
x-7
Click here to see answer by praseenakos@yahoo.com(507)

Question 86516: solve
x
over
5x+10
plus
x-3
over
x+2
equals
7
over
5
A)no solution
B) -8
C) -29
D) -17
Click here to see answer by ankor@dixie-net.com(22740)

Question 86643: I had to create a rational expression. I created 120+10(9)/9 based on a real life situation. My teacher said I did great, however he is asking me too try the expression in a different way which would give me a different answer. He gave me this: [120+10(9)]/9 How would the answer be different from the one I got when I solved it the other way?
My original answer for my expression was 23.3, the answer I get with my teachers way is 130? Which way is the right way?
Click here to see answer by tutorcecilia(2152)

Question 86628: subtract and put in simplest form
5x
over
14
minus
x
over
14
i got 2x
over
7 is this correct?
Click here to see answer by ankor@dixie-net.com(22740)

Question 86629: add and put in simplest form
3y
over
y^2+5y+4
plus
2y
over
y^2-1
i got 5y
over
(y+4)(y-1) is this correct?
Click here to see answer by ankor@dixie-net.com(22740)

Question 86659: Please help me to solve:
Facot each polynomial, if prime, say no.
18z+45+z^2
Thank you
Click here to see answer by Earlsdon(6294)

Question 86710: I have a question that I cannot understand due tomorrow and have absolutely no clue how to do it. It states: use descartes' Rule of Signs to determine the possible number of positive real zeros of the function f(x)=-5x^3+x^2-2x+5
Click here to see answer by stanbon(75887)

Question 86713: I have a question that states: use descartes' rule of signs to determine the possible number of positive and negative zeros of the function f(x)=x^6+4x^5-4x^4+5x^3-5x^2+x-5
Click here to see answer by stanbon(75887)

Question 86714: I am having trouble with this homeowrk question which is due tomorrow: find all the zeros of the function
a)x^3_2x^2-2x-3
b)f(x)=6x^4-13x^3+13x-6
Click here to see answer by stanbon(75887)

Question 86624: subtract and put in simplest form
5x-3
over
6
minus
x+3
over
6
Click here to see answer by praseenakos@yahoo.com(507)

Question 86699: This is from a worksheet. I do not understand how to do this at all. I have notes from my instructor but they are not very clear to me about this type of problem. The directions are as follows: "Find all the real number solutions for each equation." Here is my first equation.
x^5-x=0
Click here to see answer by scott8148(6628)

Question 86712: Can anyone help me with this question: use the rational zero theorem to find all possible rational zeros of the polynomial g(x)=-x^3-3x^2-9x+21 I appreciate any help.
Click here to see answer by scott8148(6628)

Question 86530: divide
2x-6
over
21
divided by
5x-15
over
12
Click here to see answer by bucky(2189)

Question 86529: aimplify
3
over
4
over
4
over
5
A)16
over
15
B) 15
over
16
C)5
over
3
D)3
over
5
Click here to see answer by bucky(2189)

Question 86737: I thought I understood this theorem until I saw this problem, it is the only one on my worksheet like it that I can't figure out. Use the even and odd powers of (x-c) theorem to determine where the graph of the given polynomial will cross the x axis and where the graph will intersect but not cross the x axis. y=x(x-4)^2
Click here to see answer by stanbon(75887)

Question 86736: I can't figure out even where to start with this question, could you walk me through it????
Find a polynomial with integer coefficients that has the given zeros. -4, -1+i, -1-i
Click here to see answer by stanbon(75887)

Question 86735: I am really struggling with this section of my homework. Any help would be great.
find the poynomial written as a product of linear factors.
f(x)= 2x^3+5x^2-11x+4
Click here to see answer by stanbon(75887)

Question 86744: Find the polynomial of lowest degree with the given zeros:
1, 2. I am not understanding how to do this, Please, help. Thanks!
Click here to see answer by Edwin McCravy(20054)

Question 86655: Please help me to solve:
factor each polynomial completely:
x^3y+2x^2y^2+xy^3
Thank you
Click here to see answer by ankor@dixie-net.com(22740)

Question 86922: simplify
3
over
x-5
+1(the 1 is on the outer right)
over
1 is on the outer left
-4
over
x-5
Click here to see answer by jim_thompson5910(35256)

Question 86920: multiply
-3a^2b
over
35a^5
multiplied by
14a^3b^2
over
-9b^4
Click here to see answer by stanbon(75887)

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