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

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

Question 203065: (n^2+5n+6/n^2+7n+12)(n^2+9n+20/n^2+11n+30)= ?
Click here to see answer by jsmallt9(3296)

Question 203083: If a vendor charges p dollars each for
rugby shirts, then he expects to sell 2000 -100p shirts at
a tournament.
a) Find a polynomial R(p) that represents the total revenue
when the shirts are p dollars each.
b) Find R(5), R(10), and R(20).
c) Use the bar graph to determine the price that will give
the maximum total revenue.

Click here to see answer by jsmallt9(3296)

Question 203084: The length of a rectangular swimming
pool is 2x -1 meters, and the width is x -2 meters. Write
a polynomial A(x) that represents the area. Find A (5).

Click here to see answer by checkley77(12569)

Question 203081: The length of a rectangular swimming
pool is 2x -1 meters, and the width is x -2 meters. Write
a polynomial A(x) that represents the area. Find A (5).
Click here to see answer by jsmallt9(3296)

Question 203086: 9+3r^2-12r^4
Factor completely
Click here to see answer by stanbon(57967)

Question 203089: (4x)(2y)-(3x)(-y)=
Click here to see answer by stanbon(57967)

Question 203108: Factor the Polynomial 4x^3-28x^2+49x. First find the GCF of the terms 4x^3, 28x^2, and 49x, and factor it out of the polynomial 4x^3-28x^2+49x.Then use the appropriate pattern for factoring the remaining expression.
Thanks i really appreciates this.
Click here to see answer by jsmallt9(3296)

Question 203127: (8K^2-30) DIVIDED BY (K-2)
Click here to see answer by stanbon(57967)

Question 203107: Factor the Polynomial 9w^3+24w^2+16w. First find the GCF of the terms 9w^3, 24w^2, and 16w, and factor it out of the polynomial aw^3+24w^2+16w.Then use the appropriate pattern for factoring the remaining expression.

Thanks for your help. I have been trying to figure this one out for about an hour now.
Click here to see answer by scott8148(6628)

Question 203076: I have the problem:
1 1
__ - __
4n 2
*OVER*
n 1
__- ___
6 24n
and I need to simplify. I solved the problems for the numerator and denominator and got:
-4n+2 144n
_____ x _____
6n 24n^2-6 .....using the reciprocal of the denominator to multiply by.
from there, I got that 24n^2-6 factors to (-4n+2)(-6n-3) and so that can cross cancel with the -4n+2 in the first fraction. the 144n can cross cancel with the 6n. So, I got:
1 24
__ x ____
1 -6n-3 From here, I can factor out a -3, which makes it: -8/2n+3, but that
is not one of the options. The options are: -6/2n-1, -6/2n+1, or 6/2n+1. What did I do wrong?
Click here to see answer by ankor@dixie-net.com(15746)

Question 203122: Please help me solve these problems.
A lawyer bills her clients $300 per hour of service. If a client's case reuires 17 hours to complete, use a proportion to calculate how much the client will owe the lawyer (excluding tax).
Click here to see answer by rfer(12730)

Question 203126: (4X^3+4) DIVIDED BY (X-1)
Click here to see answer by jsmallt9(3296)

Question 203294: 4+ 12/2x-3 divided by 5+ 15/2x-3
Click here to see answer by PRMath(124)

Question 203293: x^2-8X+15/X^2+2x-35 divided by -x^2-2x+15/x^2+9x+14
Click here to see answer by Earlsdon(6294)

Question 203298: Hi I am very confused about all of this:

Solve the following:
1. 2x=-3x+9

2. 3x/5=-6
3.y/4+2=7
5.16= -2x/3
6. Find f(1) for f(x) =2x^3-3x^2+x-21
7. Afunction gives the value of C as 2x(22/7)xr . Find C when r=7cm and r=91cm
Click here to see answer by stanbon(57967)

Question 203292: Simplify: x/ x^2-3x+2 - 2/ x^2 - 3x +2
Click here to see answer by Earlsdon(6294)

Question 203295: (4)+ 12/2x-3 divided by (5)+ 15/2x-3
Click here to see answer by jsmallt9(3296)

Question 203311: I need help with factoring polynomials
Click here to see answer by PRMath(124)

Question 203222: Hi I need to know the steps on how to calculate the GCF of a polynomial please?
Click here to see answer by jsmallt9(3296)

Question 203344: 1. (2x² + 3x – 1) + (5x² - 5x – 5)
2. (2x² + 3x – 1) – (5x² - 5x – 5)
3. (4x2y3z)(-3x3yz3)
4. 3x(2x – y) – 2y(3x + y)

Click here to see answer by checkley77(12569)

Question 203374: how can i solve this indicated operation?
subtract 8x-y+5y from the sum of 2x+3y-6z and 5x-3y
please help me,
thank you
Click here to see answer by ankor@dixie-net.com(15746)

Question 203375: this is my last question.
How is this?
its like the first one.
I'm trying to answer it but it makes me confused..
subtract 9x^2y^2-3x^2-5 from the sum of 9x^2y^2+11x^2+5 and 11x^2y^2-6x^2+2
please, help me..
thanks alot

Click here to see answer by stanbon(57967)

Question 203380: How do I solve for "x"
(2x)/(x+4)-1/(x-3)=0
Click here to see answer by jsmallt9(3296)

Question 203372: Simplify the complex fractions.

(2+ 1/4a)/(2/a-a) = ?
(n/12- 2/9)/(n/6) = ?
(a-9/1)/(1-3/a)= ?
(2/x+3/x)/(4/x) = ?
(x/2+x/3)/(x/4) = ?
(2+1/a)/(2/a-a) = ?
(a-9/a)/(1-3/a) = ?
Sorry I know That's a lot.
Thanks

Click here to see answer by jsmallt9(3296)

Question 203392: Solve for x: 24/8x - x/3 = 3-x/6.
I have tried multiplying by the lcd, I have mulitplied by 8x to try and clear the fractions, but I think I am missing a step somewhere and I cannot figure it out. I looked in the back of the book and found the answers are x=3 or x=-6, but I cannot see how that is possible. Thank you in advance for your help.
Jody
Click here to see answer by scott8148(6628)

Question 203457: 3x+1/x write each expression as quotient + remainder/divisor.So simple yet so complicated for me thanks!
Click here to see answer by jsmallt9(3296)

Question 203393: Can someone please help me classify the function as a liner, quadratic, or exponential.
f(x) =-7x^2 + 8x + 6
and
f(x) =x^2 - 4
Click here to see answer by jsmallt9(3296)

Question 203464: What is the degree of this polynomial: 6x2y3-3xy2-2x
im sorry but i dont know how to do this at all i was given this problem and i dont know how to do it so if you can be so kind can you help me

Click here to see answer by RAY100(1637)

Question 203432: Hi i am having a problem with this question, It says to determine the degree, term, and coefficient of this polynomial:
2x-3x^4
Click here to see answer by RAY100(1637)

Question 203406: Five grams of sugar are added to a 45 gram serving of a breakfast cereal that is is 10% sugar. What is the percent concentration in the resulting mixture?
Click here to see answer by ankor@dixie-net.com(15746)

Question 203514: Factor this problem
x^3 y+2x^2 y^2+xy^3
Click here to see answer by jsmallt9(3296)

Question 203507: x^3 y+2x^2 y^2+xy^3
Click here to see answer by jsmallt9(3296)

Question 203564: (a-b)(a+b)solve use the foil method.
Click here to see answer by Earlsdon(6294)

Question 203572: 3. find the compound interest earned by the deposit. round to the nearest cent.

$3590 at 12% componded semiannually at 8yrs
a.$5298.71
b.$34446.40
c.$2131.91
d.$5529.86
Click here to see answer by scott8148(6628)

Question 203566: i cant figure this out -4u squaredplus 5u - 1
Click here to see answer by scott8148(6628)

Question 203567: 2. find the interest. round to the nearest cent
$1280 at 12% for 9 months
a.interest = $17.07
b.interest = $115.20
c.interest = $1382.40
d.interest = $11,520.00
Click here to see answer by rfer(12730)

Question 203637: Factor : x^3-4x^2+x+6, x+1
Click here to see answer by vleith(2825)

Question 203629: I can not seem to be able to factor this
2w(4w+1)=1
Click here to see answer by vleith(2825)

Question 203634: simplify: 33z^-4/-11z^3
Click here to see answer by stanbon(57967)

Question 203635: Simplify : (s^3)^4/(s^2)^3
Click here to see answer by checkley77(12569)

Question 203633: expand the binomial...(2x-3)^3
Click here to see answer by scott8148(6628)

Question 203647: A car is traveling on a road that
is perpendicular to a railroad track. When the car is
30 meters from the crossing, the car’s new collision
detector warns the driver that there is a train 50 meters
from the car and heading toward the same crossing. How
far is the train from the crossing?
Click here to see answer by Earlsdon(6294)

Question 203687: Janet invested $26,000, part at 6% and part at 3%. If the total interest at the end of the year is 1,080, how much did she invest at 6%?
Click here to see answer by rfer(12730)

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