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

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

Question 570887: factor by factoring out gcf 5c-20
Click here to see answer by stanbon(57290)

Question 570889: factor out the polynomial gcf
x(y+10)-z(y+10)
Click here to see answer by stanbon(57290)

Question 570892: factor out GCF
40x^7y^8+72x^2y^6+72x^4y^3
Click here to see answer by maa.veera@gmail.com(3)

Question 570890: factor out polynomial GCF
j(k-5)-10(k-5)
Click here to see answer by Edwin McCravy(8893)

Question 570907: what natural can replace B to make perfect square trinomial
64X^2+BX+16
Click here to see answer by josmiceli(9668)

Question 570930: Please explain how to solve: a rectangular pool 20 feet wide and 60ft long is surrounded by a walkway of uniform width. If the total area of the walkway is 516 sq ft, how wide is the walkway?
Click here to see answer by Alan3354(30993)

Question 571038: 8xy^4 + 27x^4y factor completely, if prime state
Click here to see answer by nyc_function(2733)

Question 571045: Factor each polynomial completely. a^2-14a+24
Click here to see answer by nyc_function(2733)

Question 571062: a^2-12a+32=0 The solutions are?
Click here to see answer by mananth(12270)

Question 571074: Could someone give me an example or two. All this talk about rational expressions has me so lost. This is why I have yet to post my work on this topic. I understand that in math we learn about fractions I get them, my daughter tells me that a fraction is just a funny looking expressions and they are just tools for writing down that one number that is divided by another here is where I get lost even more. I believe that I am making it even harder than it is with all of the rules for working with fractions, I have been told a million times that they are basically all grounded in this math stuff, however I believe that with a little more time they will start to make sense I hope. If I am lost someone help me out please. From what I have learned so far a rational expressions is very much like a fraction, except they usually represent ratios of variable expressions, instead of just ratios of numbers. I believe that the rules for working with rational expressions are basically the same as the rules that I understand for fractions is this correct? I believe all this is even more confusing I hate that this is going to take some practice.
Click here to see answer by Edwin McCravy(8893)

Question 571036: For a polynomial f(x) with real coefficients having given the degree and zeros.
Degree 4; zeros:-2-5i; 5 multiplicity 2
Click here to see answer by reviewermath(507)

Question 571134: factor completely
7x^2-7x^2y-28x+28xy
Click here to see answer by mananth(12270)

Question 570916: What is the difference in these two questions and how do I do them?
Describe the mathematic process of canceling like factors when working with rational expressions. Demonstrate this with an example. And explain in your own words how factoring is used to solve quadratic equations. Demonstrate the process with an example. Please help this is late and I am so lost
Click here to see answer by richard1234(5390)

Question 571111: factor completely
7x^2-7x^2y-28x+28xy
Click here to see answer by KMST(1868)

Question 571432: 7a/a-b / 4b/a+b = This problen is 7a over a-b divided by 4b over a+b
Click here to see answer by stanbon(57290)

Question 571612: 5/w=6/w-1/11
Solve
Click here to see answer by Maths68(1474)

Question 571777: how do you work x3+8x2-16x by solving polynomials
Click here to see answer by stanbon(57290)

Question 571777: how do you work x3+8x2-16x by solving polynomials
Click here to see answer by solver91311(16877)

Question 571898: x to the second power plus x minus 12

Click here to see answer by Alan3354(30993)

Question 571991: Please help me graph this polynomial.
f(x)= -2(x-2)^2(x+1)=2x^3...???
x-intercept=??
y-intercept=??
Thank you so much for your help! im very lost.
Click here to see answer by Edwin McCravy(8893)

Question 572177: I need help on simplifying rational expressions. How would you solves omething like
v^2-7v-30 over v^2-5v-24?
Click here to see answer by scott8148(6628)

Question 572250: The Robertsons put a rectangular pool with a stone walkway around it in their backyard. The total length of the pool and walkway is 3 times the total width. The walkway is 2 feet wide all around.
a-write an expression for the area of the pool.
b-find the area of the pool when the total width is 10 feet.
c-find the area of the pool when the total width is 9 feet.
please answer a, b, and c!
Click here to see answer by nyc_function(2733)

Question 572321: Please help me solve this equation by using long division: x^2-13x-48 divided by (x+3)
Click here to see answer by stanbon(57290)

Question 572491: y^3-1/8
I see that it is 1/2 or 0.5. but i don't understand how people are getting that. Will you please explain to me how 1/2 comes about?
Click here to see answer by KMST(1868)

Question 572842: solve the equation for y
(5/y-3)+ (10/y^2-y-6) = (y/y+2)]
(five over y-3) plus (10 over y squared minus y minus 6) equals (y over y+2)
1.Im not sure if i did it right, i found the least common denominator which is (y-3)(y+2) and multiplied to the missing part of the least common denominator to the top to get:
5(y+2)/(y-3)(y+2) - 10/(y-3)(y+2) = y(y-3)/(y+2)(y-3)
2.Then i combined like terms and simplified to get
5y+20/(y-3)(y+2) = (y^2)-3y/(y+2)(y-3)
3. My final answer was
5y(y+4)/ (y+2)(y-3)
Is it correct?

Click here to see answer by solver91311(16877)

Question 572883: Please help me graph the following equation, find the relative minimum and maximim, increase and decrease for f(x)=14+21x-2x^2+3x^3
Click here to see answer by KMST(1868)

Question 573348: how do you factor 3x^3-15x^2-6x+30
Click here to see answer by Edwin McCravy(8893)

Question 573512: simplify by removing factors of 1
Q^2-49/Q^2-14Q+49
Click here to see answer by stanbon(57290)

Question 573613: Factor the polynomial in quadratic form.
Click here to see answer by unlockmath(1599)

Question 573678: Can you please help me? The given polynomial is 2√3x + x^2 -1. Is this a polynomial or not? And what do you call this (polynomial,binomial, trinomial or monomial?)
Click here to see answer by stanbon(57290)

Question 573713: What's the square root of 50x6y3?
Click here to see answer by nerdybill(6957)

Question 573898: How do I multiply a Polynomial by a Monomial ?
Click here to see answer by richard1234(5390)

Question 573951: How to factor 14k^2-25k-84 completely

Click here to see answer by solver91311(16877)

Question 574340: x + 25^2=
Click here to see answer by jsmallt9(3296)

Question 574394: 2(c-8)(c-4)
Click here to see answer by saifoo.khan(162)

Question 574402: (9a square+4)(3a+2)(3a-2)
Click here to see answer by nyc_function(2733)

Question 574486: Identify the degree of each term of the polynomial and the degree of the polynomial.
-9x^3+6x^2+2x+2
The degree of the 1st term is _________
The degree of the 2nd term is _________
The degree of the 3rd term is _________
The degree of the 4th term is _________
The degree of the polynomial is _______

Click here to see answer by Edwin McCravy(8893)

Question 574494: find all numbers for which the rational expression is undefined.
(s^3-3s)/(s^2-36)
The numbers for which the rational expression is undefined are _____ ( use a comma to separate answers.)
Click here to see answer by reviewermath(507)

Question 574585: Find LCM for:
2x^3, 5x^2, 15xy^2
Click here to see answer by stanbon(57290)

Question 574517: what are the positive zeros of f(x)=2x^4-9x^3+2x^2+21x-10?
Click here to see answer by Alan3354(30993)

Question 574517: what are the positive zeros of f(x)=2x^4-9x^3+2x^2+21x-10?
Click here to see answer by KMST(1868)

Question 574604: 1. Describe two real-life examples where rational expressions are used on the job. For ideas, look in the textbook or online and look around you at work and see what strikes you as being similar in your own life. What examples do you see? Describe two of them in detail. Make sure to explain what, how, and why the specific rational expression was used.
Click here to see answer by richard1234(5390)

Question 574632: How do you find the roots of the polynomial," x^4-81=0"? I don't understand this because supposedly with a degree of four there are exactly four roots to this polynomial, but there are only two terms.
Click here to see answer by mathsmiles(68)

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