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

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

Question 86992: Will you please help me with this problem?
3/4n = 30 my answer is: 3/4n = 30
4(3/4n) = 4x30
3n = 120
n = 120
* according to the book this answer is incorrect. Please help solve this problem. Thank you. Justin

Click here to see answer by stanbon(75887)

Question 86993: How do I answer this problem.
y^4+3y^3-5y^2-15y
I tried to solve it this way but I think that it is wrong.
y^4 + 3y^3 -5y^2-15y
y^3(y+3) -5y(y+3)
=(y+3)(y^3-5y)
Click here to see answer by stanbon(75887)

Question 86975: Factor theswe polynomials completely
54. 2x^2 -x - 10
80. 4m^2 + 20 + 25
60. 10a^2 + ab - 2b^2
Click here to see answer by PackyMan(1)

Question 87041: Could someone please help me? I do not understand this word problem.
The width of a rectangular playground is 2x-5feet and the length is 3x+9 feet. Write a polynomial P(x) that represents the perimeter and then evaluate this perimeter polynomial if x is 4 feet. Thank you!!!
Click here to see answer by stanbon(75887)

Question 87042: Help please!
Find a trinomial that represents the area of a parallelogram whose base is 3x +2 meters and whose height is 2x+3 meters. Thank you!!
Click here to see answer by stanbon(75887)

Question 87044: What is (a+b)^5
Click here to see answer by stanbon(75887)

Question 87043: Please help with this question:
Sam lives on a lot that he thought was a square, 157 feet by 157 feet. When he had it surveyed, he discovered that one side was actually 2 feet longer than he thought and the other was actually 2 feet shorter than he thought. How much less area does he have than he thought he had? Thanks!!!!
Click here to see answer by scianci(186)

Question 87059: Please help me to solve as an equation with three solutions:
m^3+2m^2-3m=0
Thank you
Click here to see answer by Earlsdon(6294)

Question 87061: Please help to solve the following problem:
Either perform the indicated operation or solve the equation whichever is appropriate:
x^2-4/x divided by 4x-8/x
Thank you very much.

Click here to see answer by Nate(3500)

Question 87060: Please help me to solve this word problem:
Decreasing cube: Each of the three dimensions of a cube with a volume of y^3 cubic centimeters is decreased by a whole number of centimeters if the new volume is y^3-13y^2+54y-72 cubic centimeters and the new width is y-6 centimeters, then what are the new length and height?
Thank you
Click here to see answer by Nate(3500)

Question 87054: Please help me to solve the following problem:
Factor each polynomial completely, given that the binomial following it is a factor of the polynomial:
x^3+4x^2-3x+10, x+5
Thank you
Click here to see answer by Nate(3500)

Question 87057: Please help me to solve each equation:
2h^2-h-3=0
Thank you
Click here to see answer by Nate(3500)

Question 87052: Factor the following polynomial completely:
1. 9y4 + 42y3 + 49y2
2. x3 + 6x2 - x � 6
3. 8x3 + 125
4. a. Write a polynomial that can be used to represent the product of any 3 consecutive even integers.
b. Use any 3 consecutive even integers to verify that your polynomial represents the product of the 3 integers.

Click here to see answer by stanbon(75887)

Question 87155: factor each expression
a^2(b-c)-16b^2(b-c)
Click here to see answer by tutorcecilia(2152)

Question 87196: rewrite middle term as the sum of two terms and factor completely
1.12w^2+19w+4

2.4z^3-18z^2-10z

Click here to see answer by jim_thompson5910(35256)

Question 87195: binomials
25x^2-81y^2
Click here to see answer by jim_thompson5910(35256)

Question 87156: ac method to factor find the value of m and n each
x^2+2x-15
and

x^2-3x+7

Click here to see answer by stanbon(75887)

Question 87154: Factor each of the following trinomials completely
2a^3-52a^2b+96ab^2
Click here to see answer by funmath(2933)

Question 87205: The winning candidate had 220 more votes then the loser, if 810 votes were cast in all how many votes did each candidate receive
I put x= winning candidate and y= the losing candidate x + y= 810
y = 2x+ 220 this is where I get lost
Click here to see answer by scott8148(6628)

Question 87206: The solution is (-3, 4) 5x + 7y = b and mx + y = 22 do I have tosolve for x first or y?
Click here to see answer by jim_thompson5910(35256)

Question 87208: solve as quaditic equations
4x^2=13x+12
Click here to see answer by Earlsdon(6294)

Question 87208: solve as quaditic equations
4x^2=13x+12
Click here to see answer by jim_thompson5910(35256)

Question 87212: x^2-20/x^2 -7x+12 = 3/x-3 + 5/x-4
I have 2 solutions x= 1,7
Thanks for your help!
Click here to see answer by stanbon(75887)

Question 87231: write expression simplist form

4x-28
-----
5x-35

4r^2-25s^2
----------
2r^2+3rs-20s^2
Click here to see answer by malakumar_kos@yahoo.com(315)

Question 87264: Hello tutors! I'm stuck on this one. The answer is 4a^2/[9(a-1)], but I'm not sure how the 5 factors out. Thanks for any help you can give!
5a^2-20 ( a^3+2a^2 9a^3+6a^2)
_______ / ________ * __________
3a^2-12a (2a^2-8a 2a^2-4a)
Click here to see answer by longjonsilver(2297)

Question 87275: Please help me solve the following equations:
Reduce each expression to the lowest terms:
78)
88)
Thank you very much!

Click here to see answer by longjonsilver(2297)

Question 87275: Please help me solve the following equations:
Reduce each expression to the lowest terms:
78)
88)
Thank you very much!

Click here to see answer by Edwin McCravy(20054)

Question 87279: Find all the zeros of the function.
x^3+3x^2-x+12
Click here to see answer by longjonsilver(2297)

Question 87289: 5x divided by 8y subtracted from 3x divided by 5y

Click here to see answer by Earlsdon(6294)

Question 87305:
I'm about to get a headache, can you please help?

Click here to see answer by jim_thompson5910(35256)

Question 87305:
I'm about to get a headache, can you please help?

Click here to see answer by Edwin McCravy(20054)

Question 87301: Add 5y-4and 2y^2-8y
Click here to see answer by tutorcecilia(2152)

Question 87294: I need help with this question please:
Choose three integers a, b, and c.(Negative numbers are welcome). Now use a, b and c to create a trinomial ax^2+bx+c. Can you factor this trinomial? How would you create a trinomial that will factor? Thank you!!!!
Click here to see answer by tutorcecilia(2152)

Question 87337: A painting canvas has a length 9 inches longer than its width. If the area is 90in to the second power, what are the lengths of the legs of the field?
Click here to see answer by tutorcecilia(2152)

Question 87338: Please help. I need to find three consectutive integers such that the sum of their squares is 77. Thanks!!
Click here to see answer by jim_thompson5910(35256)

Question 87339: Factor this polynomial completely:
2a^2-4a-2
Thank you so much in advance!
Click here to see answer by jim_thompson5910(35256)

Question 87335: A farmer has a pasture in the shape of a right triangle. The measure os the longer leg of the pasture is twelve yards longer than three times the measure of the shorter leg. If the hypotenuse of the pasture measures 100 yards, what are the lengths of the legs of the field?
Click here to see answer by checkley75(3666)

Question 87346: simplify. write your anser with positive exponents only.
(b^2)^-6
_____
b^-4

Factor: 8m^4n-16mn^4
Click here to see answer by favegirl13(22)

Question 87346: simplify. write your anser with positive exponents only.
(b^2)^-6
_____
b^-4

Factor: 8m^4n-16mn^4
Click here to see answer by jim_thompson5910(35256)

Question 87359: I am supposed to Evaluate if possible the following:
sqrt of 36, I get sqrt of 36...then there is the sqrt of 9/16, and I get sqrt of 9/16, and I have not been able to figure out how to evaluate ^3sqrt1/64...Can someone PLEASE HELP ;0/ Thanks
Click here to see answer by jim_thompson5910(35256)

Question 87357: Find the distance between (-3, -2) and (1, 4)...Am I doing this right, to keep it short my answer is 2 sqrt of 5 am I right?
Click here to see answer by jim_thompson5910(35256)

Question 87354: Find the distance between (-4, 0) and (-5,-3)...My solution is sqrt of 10 Am I right??Thanks
Click here to see answer by jim_thompson5910(35256)

Question 87365: factor completely
x^2+8x+15

12x^3-3xy^2
Click here to see answer by jim_thompson5910(35256)

Question 87364: Simplify:(a^7b^2)^7
Factor -12x^3+36x^2
Click here to see answer by checkley75(3666)

Question 87356: Can someone please help me out with this: I am supposed to find the length x. Express your answer in simplified radical form. the triangle is 51 ft on one side, 45 ft on the other side, then there is x.
Click here to see answer by checkley75(3666)

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