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

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

Question 459831: 18-x/4=x/5

Click here to see answer by algebrahouse.com(1079)

Question 459852: 4x^8y^6 + 32x^6y^5 + 24xy=
Click here to see answer by stanbon(57342)

Question 459863: Factor by grouping
40x^3-72x^2+35x-63=
Click here to see answer by richwmiller(9135)

Question 459882: Please assist with this question:
The length of a rectangle is 6 meters more than its width. If the area is 91 square meters, what are the length and width?
thank you
Click here to see answer by sudhanshu_kmr(1152)

Question 459958: Factor
x^3-2x^2+3x+2
Click here to see answer by richwmiller(9135)

Question 460014: A rectangle that is 90cm and the length and width is unknown, also it is 3cm's longer than twice the width? The perimeter is 90cm's.Need to know the algerbric equasion for this and find the unknowns?
Click here to see answer by oberobic(2304)

Question 460026: How do you find all roots to the equation 3x^2+5x=0?
Click here to see answer by oberobic(2304)

Question 460043: Andrew factored the expression 28x³-6x²-10x as 2x(14x³-3x²-5x). But when Melissa applied the distributive law and multiplied out 2x(14x³-3x²-5x), she got 28x⁴-6x³-10x²; thus, Andrew’s solution does not appear to check. Why is that? Please help Andrew to understand this better. Explain your reasoning and correctly factor the original expression, if possible. If the expression is prime, so state.
Click here to see answer by richard1234(5390)

Question 460134: -2y/7y-2
Click here to see answer by Alan3354(30993)

Question 460066: Find all the roots
1. x^2+5x-14=0
2. 3x^2+5x=0
3. 4x^2-13x+3=0
Use the difference of two squares formular to factor
4.y^2-49
5. 4x^2-25
Click here to see answer by mananth(12270)

Question 460174: Simplify by removing factors of 1
q^2-25/q^2-10q+25
I come up with...but I think I may be missing something!
-25/-10q+25
Click here to see answer by Alan3354(30993)

Question 460206: Hello, I am very confused on this question as well, please help me out.
Factor. 2bc + 4b - 5c - 10
Click here to see answer by stanbon(57342)

Question 460206: Hello, I am very confused on this question as well, please help me out.
Factor. 2bc + 4b - 5c - 10
Click here to see answer by MathLover1(6632)

Question 460205: Hello, I'm doing Removing Common Factors; Factoring by Grouping.
x^2 + 8x^2 + 2x + 16
Please be able to show me step by step, so I may have a better understanding of how to do problems of this nature.
Thank you.
Click here to see answer by stanbon(57342)

Question 460261: factor s^2+6s+9
Click here to see answer by checkley79(3050)

Question 460291: I apologize, because I had to put the wrong equation in one of the question that I asked.
Factor. x^3 + 8x^2 + 2x + 16
Thank you
Click here to see answer by ankor@dixie-net.com(15650)

Question 460214: Essay: Show all work. Find the following product: (y-7)^2
Click here to see answer by rfer(12657)

Question 460343: express the integer as a product of prime number 42
Click here to see answer by Edwin McCravy(8909)

Question 460354: Factor completely 9m^2-6m+1

Click here to see answer by richwmiller(9135)

Question 460387: can u help me solve this?
Subtract and simplify if possible:
6/5r^2 - 7/5r-5
Click here to see answer by stanbon(57342)

Question 460430: how do you factor 2n^4+5n^3+3n^2
Click here to see answer by robertb(4012)

Question 460452:
By using foil, I got:

This of course is the wrong answer according to the guide in the back of my textbook. So, I tried a few other things and keep getting the wrong answer. The correct answer is as follows:

For the life of me, I can't figure out how this could be right. Please help me understand this! Thank you in advance for your help!
Click here to see answer by edjones(7569)

Question 460449: Andrew factored the expression -6x^3+9x^2-3x as -3x(2x^2-3x-1) but when Melissa applied the distributive law and multiplied out -3x(2x^2-3x-1) she got -6x^3+9x^2+3x; Andrew solution does not appear to check. Why is that? Please help Andrew to understand this better. Explain reasoning and correctly factor the original expression if possible. Will someone please assist with this question, thank you.
Click here to see answer by richard1234(5390)

Question 460426: Essay: Show all work. Find the following quotient: (4x^2 - y^2) / (2x + y)

Click here to see answer by richard1234(5390)

Question 460424: Short Answer. The length of the side of a rectangular desk is given by x - 4y cm. The length of the front is given by x + 4y cm. What is an algebraic expression for the area of the top of the rectangular desk? Include correct units as part of your answer.

Click here to see answer by ankor@dixie-net.com(15650)

Question 460619: -13x^3+9/x^3-4x
Find the real numbers for the rational expression thats undefined
find the value of the expression when x = -4
x+8/x^2-x+9

Click here to see answer by rwm(914)

Question 460633: given that f(x) = x^2 - 5x, find and simplify f(a+10) and f(a+h) - f(a)
Click here to see answer by solver91311(16885)

Question 460656: 1. x^8 - y^8
2. 16a^7b + 54ab^7
3. given that f(x) = 3x^2 - 15x +11, find all values of x such that f(x) = 11
Click here to see answer by sudhanshu_kmr(1152)

Question 460669: solve the polynomial 12x^2-5x-3
Click here to see answer by jim_thompson5910(28595)

Question 460698: please factor this with an answer of two binomials. It is a perfect square trinomial. Thanks
x^2-2/5x+1/25

Click here to see answer by Alan3354(30993)

Question 460783: What is the real solution of this polynomial equation?
X^4 -36=0

Click here to see answer by stanbon(57342)

Question 460804: (a-4)(a+4)=30
Click here to see answer by richard1234(5390)

Question 460286: Evaluate the following polynomial x^3+5x^2-3x+2, for x=2/3.
Please explain each step.
Click here to see answer by richard1234(5390)

Question 460868: I need to solve for t given the rational equation, 1/t+5/(t+1)=10
Click here to see answer by stanbon(57342)

Question 460874: Please evaluate this equation. (x+y)^6
Click here to see answer by rwm(914)

Question 460963: I am really confused on how to solve the problem with out knowing the values of either variable.
The problem assigned is...
A \ B = {x:? }
Click here to see answer by stanbon(57342)

Question 460972: Factor out the greatest common factor:
5a(a+3b)+4/(a+3b)
I know I need to use (a+3b), just not sure how to do it when one of the terms is a fraction with a binomial in the denominator. Could this be a typo from the professor?
Click here to see answer by rwm(914)

Question 460985: x^8-y^8
Click here to see answer by Gogonati(809)

Question 461113: is the expression to te right simplifid corectly?
explain in complete sentences why or why not? 3a + b/7 + b = 3a/7
Click here to see answer by oberobic(2304)

Question 461110: Information is given about a polynomial f(x) whose coefficients are real numbers. Find the remaining zeros of f.
Degree 4; zeros: 2 - 5i, 8i

Click here to see answer by rwm(914)

Question 461118: simplify each expression. show any factoring and canceling.

(9m^3c^2)/(27a) * (3a^3) / (18mc^2)
please help with this. thank you!
Click here to see answer by stanbon(57342)

Question 461087: The formula to find the sum of the first n whole number is
sum = (n^2 + n)/2
In order to encourage students to show up early to a school dance, the dance committee decides to charge less for those who come to the dance early. Their plan is to charge the first student to arrive 1 penny. The second student through the door is charged 2 pennies; the third student through the door is charged 3 pennies, and so on. How much money, in total, would be paid by the first 150 students?
Click here to see answer by richard1234(5390)

Question 460217: Short Answer. The length of the side of a rectangular desk is given by x - 4y cm. The length of the front is given by x + 4y cm. What is an algebraic expression for the area of the top of the rectangular desk? Include correct units as part of your answer.
Click here to see answer by richard1234(5390)

Question 460219: Essay: Show all work. Find the following quotient: (4x^2 - y^2) / (2x + y)
Click here to see answer by richard1234(5390)

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