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

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

Question 67042: X-3+5X-12=6
Click here to see answer by ronniecroberts(6)

Question 67205: How do I simplify the following:
_____64x^4+27x_______
4x^3-9x^2-9x
The denom is not a problem, it is the numerator I can not figure out.
Click here to see answer by funmath(2925)

Question 67157: t^8-1...factor....
Click here to see answer by 303795(595)

Question 67153: xy + y + 2x + 2
Factor the following four-term polynomials by grouping.
Click here to see answer by 303795(595)

Question 67152: z(y + 4) + 3(y + 4)
Factor out the GCF from each polynomial.
Click here to see answer by 303795(595)

Question 67338: You are planning a rectangular garden. Its length is twice its width. You want a walkway 2 ft wide around the garden.
a.Write an expression for the area of the garden and walk.
b.Write an expression for the area of the walk only.
c.You have enough gravel to cover 76 ft^2(squared) and want to use it all on the walk. How big should you make the garden?
Click here to see answer by raghu_pratoori(2)

Question 67366: For each of the following problems, let x represent the number and then write an expression for the product.
the square of 5 more than a number.
Geometry. A square has sides of length 3x-2cm. Express the area of the square as a polynomial.
theres a picture that goes with this problem and its a square on the top for the width it has
3x-2cm
for the length on the side it has
3x-2cm.
Click here to see answer by checkley71(8403)

Question 67365: Find each of the following squares.
(7p+6q)^2
Find each of the following squares.
(w minus(1)divided by (4))^2
Find each of the following products.
a(a+5)(a-5)
Click here to see answer by algebrapro18(206)

Question 67364: multiply.
7w(2w-3)(2w+3)
multiply the following.
((x)divided by(3) + (3)divided by (4)) ((3x)divided by (4) minus (3)divided by (5))
Business and finance. The price of an item is given by p=2x^2-100. Find the polynomial that represents the revenue generated from the sale of x items.
Click here to see answer by algebrapro18(206)

Question 67453: (2a-b)^2-(a+2b)^2
Click here to see answer by stanbon(57246)

Question 67508: (3x^2+2x-5/5x+1)+(2x^2-x+6/5x+1)
I have no idea how to do this problem
Key ^=exponents /=all over or fraction
Click here to see answer by Cintchr(481)

Question 67562: Factor Completely
y^2-x^2+2x-1
Click here to see answer by ybalkas(3)

Question 67789: Please help me solve this problem: y^2+49+14y (I need to factor it) Also i didn't get how to solve this: 8y^2-18y-5 (need help factoring it)
Thanks!

Click here to see answer by stanbon(57246)

Question 67811: y^2(1-2y)(2+3y)
Click here to see answer by tutorcecilia(2152)

Question 67781: Find
(f - h)(-3) if f(x) = (x + 1)^2; D = {Reals}, and h(x) = x; D = {Integers}
Click here to see answer by tutorcecilia(2152)

Question 67840: x - 3
------------
x^2 - 6x + 9
Simplify expression
Click here to see answer by tutorcecilia(2152)

Question 67827: Ok I have two questions that I have tried to work out but I keep going in circles..please help!
12. (3/x^2-5x+6)-(5/(x-2)^2)
28.{(1/x+h)-(1/x)/h}
Click here to see answer by stanbon(57246)

Question 67850: how do you arrange the terms of the polynomial 3x^2+5xy+2y^2 so that the powers of x are in ascending order????
--------

Click here to see answer by stanbon(57246)

Question 67831: Find all pairs (m, n) of positive integers such that m2/(2mn2 - n3 + 1) is a positive integer.
background of the problem ..some preliminary concepts and review of related literature

Click here to see answer by Edwin McCravy(8882)

Question 67971: find three consecutive odd integers such that 9 times the first is the same as the sum of 3 times the second and 4 times the third.
Click here to see answer by ankor@dixie-net.com(15638)

Question 68067: Please factor the expression as a difference of squares:
4(x+y)^2-(2y-z)^2
Click here to see answer by stanbon(57246)

Question 68070: please factor as a difference of squares:
m^2-n^2-2m+1
Click here to see answer by Earlsdon(6287)

Question 68139: Factor by grouping:
18a^3 - 24a^2b + 15ab^2 - 20b^3
Click here to see answer by funmath(2925)

Question 68163: Hello, my name is Jessika, and im in the 8th grade and i basically need help with work and Mixture problems.
Is there anyone who can help me with it??
Thank u!
call me @ 562-278-6940
Click here to see answer by ankor@dixie-net.com(15638)

Question 68183: Use synthetic division for the given polynomial
f(x) = 2x3 -5x2- 4x + 3, find all the solutions if the function is completed.
a) f(x) =0
b) f(x+2)=0
d) f(2x) = 0
Please show the work. I have the answer, I just need to confirm I did all of the steps correct.

Click here to see answer by venugopalramana(3286)

Question 68215: Please help me simplify this equation:

Click here to see answer by Earlsdon(6287)

Question 68215: Please help me simplify this equation:

Click here to see answer by gsmani_iyer(180)

Question 68215: Please help me simplify this equation:

Click here to see answer by ptaylor(2048)

Question 68213: Please help me solve this equation:

Click here to see answer by checkley71(8403)

Question 68185: Last week's profits from a dry cleaners was $2000. Suppose the $2000 is invested at interest rate k, compounded continuously, and grows to $2983.65 in 5 years.
What is the interest rate?
Find the exponential growth function.
What will the balance be after 10 years?
When will the $2,000 double?

Click here to see answer by stanbon(57246)

Question 68212: Please help me reduce this equation:

Click here to see answer by ankor@dixie-net.com(15638)

Question 68235: Find the following product.
(0.3x + 0.2) (0.3x - 0.2)
Click here to see answer by checkley71(8403)

Question 68229: The speed of light in vacuum is one hundred eighty six thousand miles per second. Write the speed of light in scientific notation.
Click here to see answer by checkley71(8403)

Question 68228: The cost, y, of growing special oranges in dollar as a function of the number of oranges, n, is given by
y = 0.7n + 20.34
Make a plot of the above equation. What is the cost of growing 50 special oranges?
Click here to see answer by checkley71(8403)

Question 68234: Find the following product.
(3x - 4) (x^2 - 2x + 3)
Click here to see answer by checkley71(8403)

Question 68237: factor: 6x^2+11x+15
Click here to see answer by checkley71(8403)

Question 68237: factor: 6x^2+11x+15
Click here to see answer by stanbon(57246)

Question 68227: Perform the division.
(3x^3 + 4x^2 - 4x - 6) / (x - 1)
Click here to see answer by stanbon(57246)

Question 68231: simplify the following.
(-3x^2y^-3)^3 (x^-3y^2)
Click here to see answer by adamchapman(301)

Question 68274: Show that 13.012 line over 12 is a rational number by writing it as a fraction of integers.
Click here to see answer by funmath(2925)

Question 68230: multiply (x + 2y)^4
Click here to see answer by checkley71(8403)

Question 68211: Please help me solve this equation:

Click here to see answer by rmromero(383)

Question 68304: Please help me solve for R for this equation:
Click here to see answer by rmromero(383)

Question 68308: Please help me reduce this equation:
Click here to see answer by rmromero(383)

Question 68306: Please help me solve for Q for this equation:
Click here to see answer by rmromero(383)

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