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

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

Question 86305: I have a question that states: 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 scianci(186)

Question 86304: I have a question that states: find all real zeros of the function:
a)f(x)=-7x^4+343x^2
b)f(x)=x^4-16x^2+15
I have no idea how to do these
Click here to see answer by scianci(186)

Question 86276: Divide the following:
x^+2x-15 over 4x^2 divided by x^-25 over 2x-10
Thanks for any help you can offer.

Click here to see answer by scianci(186)

Question 86275: Divide the following:
x^2-49y^2 over 6x^2+42y divided by (x^2-7xy)
Any help you can offer would be appreciated.

Click here to see answer by scianci(186)

Question 86303: I have a question that states: determine the right-hand and left-hand behavior of the graph of the function f(x)=-4x^5+3x^2-4/2. Can someone help me with this? I have no clue how to figure this out.
Click here to see answer by stanbon(57387)

Question 86301: I have a question that states: use the factor theorem to find a polynomial which is not a factor of f(x)=3x^4-5x^3-35x^2+25x+12. (x-4)(x-1)(x+3)(3x-2)
Click here to see answer by stanbon(57387)

Question 86380: I have a question that states: find the vertical and horizontal asymptotes for the rational function f(x)=(2x^2-5x-3)/(x^2-4)
Click here to see answer by venugopalramana(3286)

Question 86379: I need help with this: find a polynomial with integer coefficients that has the given zeros -4, -1+i, -1-i
Click here to see answer by venugopalramana(3286)

Question 86381: I have a question that states: graph: f(x)=-41/(x^2-36). How do I set this up and what does the graph look like?
Click here to see answer by stanbon(57387)

Question 86378: I need help with this: find the polynomial written as a product of linear factors: f(x)=2x^3+5x^2-11x+4
Click here to see answer by stanbon(57387)

Question 86386: Alan is building a garden shaped like a rectangle with a semicircle attached to one short side. If he has 70 feet of fencing to go around it, what dimensions will give him the maximum area in the garden?
I know that eventually you may have to use the X=b/2a formula

Click here to see answer by stanbon(57387)

Question 86377: I need help with this question: find all the zeros of the function x^3+3x^2-x+12. How do I do this?
Click here to see answer by stanbon(57387)

Question 86427: can anyone help me with this: find the vertical asymptoe(s), if any, for f(x)=(4x-7)/(x^2+5x+4)
Click here to see answer by josmiceli(9697)

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(57387)

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(6287)

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(28598)

Question 86535: solve
3
over
x
equals
15
over
x
Click here to see answer by jim_thompson5910(28598)

Question 86537: divide
2
over
x^6
divided by
4
over
x^2
Click here to see answer by jim_thompson5910(28598)

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(8909)

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(28598)

Question 86531: write in simplest form
9x^9
over
36x^17
Click here to see answer by jim_thompson5910(28598)

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(15660)

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(15660)

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(15660)

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(15660)

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(6287)

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(57387)

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(57387)

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