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

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Question 585510: x^2-16x+60 by factoring completely?
Click here to see answer by jim_thompson5910(28476)

Question 585554: please help me solve this equation
48b²-74b-10
Click here to see answer by Alan3354(30939)

Question 585631: Olinda is placing a wide matting x inches wide around a photo that is 5 inches long and 3 inches wide. write an expression in factored form for the area of the matting.
Click here to see answer by mananth(12270)

Question 585770: list the coefficients of the given polynomial
x^3+8x^2-5x+4
Click here to see answer by mananth(12270)

Question 585716: two numbers product of 72 sum of 18 ratio of 2:3

Click here to see answer by scott8148(6628)

Question 585838: show all work:
Suzie's flower shop estimates that supplies costs for one month will be given by the polynomial 5x^2-3x+1. She estimates that utilities costs for one month is given by 5x-9. Find and simplify an expression that would estimate Suzie's total costs for one month.
Click here to see answer by richwmiller(9135)

Question 585835: How do you solve this problem x+1 divide x+1
_____________
6 3 it is 6 under neath th x+1 and the 3 is under x+1
rational expression is simplified
Click here to see answer by Schaman_Dempster(26)

Question 585909: Essay: Show all work. Find the following product:
(x^2+8)(x^3+7x-3)
Click here to see answer by jim_thompson5910(28476)

Question 585833: I need help on how do I work this problem out m^2-10m+25 a line underneath the problem and underneath the line m^2-25
Click here to see answer by ankor@dixie-net.com(15622)

Question 585991: i need help breaking this problem down and solving it
4x to the 3rd power +12x-28

Click here to see answer by Alan3354(30939)

Question 586052: i need to find the vertex of y=x^2+12x+19
Click here to see answer by jim_thompson5910(28476)

Question 586055: factoring trinomials
m^2-mv-65v^2
can you give me more details

Click here to see answer by jim_thompson5910(28476)

Question 586082: Hi! please help me factor this polynomial completely :
i know how to solve it up to the part but i do not know how to factor it completely
Thanks!
Click here to see answer by jim_thompson5910(28476)

Question 586111: How to check whether (x-1) is a factor of the polynomial of x^4 +x^3 +x^2 -5x +2
Click here to see answer by stanbon(57214)

Question 586141: Collect like terms. 15p+3q-3p-5q=
Click here to see answer by rfer(12644)

Question 555019: 1.Factor by grouping, if possible, and check. 20g^3-4g^2-25g+5 and completely show your work.
Click here to see answer by sarhjo29(2)

Question 586320: chapters title: polynomials and factoring
Find the difference: (3x^2 + 5x + 4) - (x^2 + 2x + 1)

Click here to see answer by Tatiana_Stebko(1326)

Question 586340: f(x)= x^3+9x^2-4x-36
this problem is to find all the real zeros of the function, but the function doesn't equal 0 when i use synthetic division. How do i go further with this problem?
Click here to see answer by Alan3354(30939)

Question 586390: chapter title: Polynomials and Factoring
Find the product: (2x + 1)(x + 3)
and
Find the product: (x + 1)(x^2 + x + 1)

Click here to see answer by solver91311(16868)

Question 586412: I am doing a rational expression application work problm for my class and I want to make sure that I do the problem correctly.
My Work problm is:
It takes 7 hours for will to paint a house. Judy can paint the same house in 3 hours. How long will it take them to paint the house if they work together?
Would I start my rational expression as 1/7x + 1/3x?
thank you,
mm
Click here to see answer by scott8148(6628)

Question 586500: 2-i, 3+2i
Click here to see answer by solver91311(16868)

Question 586622: Explain why 5, -1, and 7 are not allowable replacements in the division
Click here to see answer by solver91311(16868)

Question 586663: -10n^2+35n=0

Click here to see answer by xdragonfight(116)

Question 586724: How to find the product of this polynomial
-6x(5x^2+4x+4)
Click here to see answer by ad_alta(240)

Question 586830: If the area of a rectangle is 121k^2 - 44kp + 4p^2 square feet, what are the possible expressions for length and width?
I am an older student who went back to school and am completely desperate, need to pass this class or I'm out, please help me, I will be adding more problems.
Click here to see answer by scott8148(6628)

Question 586834: In the area of a rectangular athletic field, it is represented by the expression, 16y^3(y^4+2y^2+5)square meters. Write an algebraic expression to represent one possible set of dimensions (l*w), of the athletic field. Include correct units and NEED TO SEE ALL WORK.
Please help an older student, second question I need help on to pass my class.
Click here to see answer by scott8148(6628)

Question 586853: The problem is 5w2-5w=0.
I know w MUST equal zero (like x-4 x=4 because 4-4=0)
So i did the GCF, and i got 1.
When i tried to plug it back in i got:
5w2-5w=0
1w(5w-5)=0
But i dont think that's right.

Click here to see answer by scott8148(6628)

Question 586932: x^2-y^2/x^2-xy

Click here to see answer by richwmiller(9135)

Question 586967: Factoring Trinomails: b squared minus 7b plus 12 = 0
Click here to see answer by stanbon(57214)

Question 586995: 27y squared - 48y to the fourth power

Click here to see answer by Alan3354(30939)

Question 587170: x^-9x-22=0
Click here to see answer by nerdybill(6948)

Question 587153: Please help me solve this problem:
If the area of a rectangle is given by 81g^2 - 180gw + 100w^2 square feet, what are possible expressions for the length and width?
Click here to see answer by ankor@dixie-net.com(15622)

Question 587256: (w3 + 64) ÷ (4 + w)
a. w² - 4w - 16
b. w² + 4w - 16
c. w² - 4w + 16

Click here to see answer by Alan3354(30939)

Question 587316: (2x - 7)/(x^(2) + 5x - 24)
Click here to see answer by richwmiller(9135)

Question 587369: what is the foil solution for(a+b)(a-b) ?
Click here to see answer by solver91311(16868)

Question 587369: what is the foil solution for(a+b)(a-b) ?
Click here to see answer by josmiceli(9645)

Question 587406: x squared minus 8x equals -7
Click here to see answer by dfrazzetto(277)

Question 587502: I'm not sure how to find the greatest common factor of a polynomial. What is the greatest common factor of 9m^3+30m-24? How'd you get it?
Click here to see answer by stanbon(57214)

Question 587700: Where can I find online some good examples of how to write polynomials that represent the perimeter and area of different figures?
Click here to see answer by stanbon(57214)

Question 587716: Perform the indicated operations and simplify.

y-6 y+1 y-63 ----- - ----- + ----- y-9 y+9 y^2-81

I have gotten this far, but don't think it is right.
The LCD is (y-9)(y+9)
Long story short, after all of the "factoring" I did, the end result came out to be
25y+63
------
(y-9)(y+9)
My only question now is what do I do with the third part of the equation?
y-63
-----
y^2-81
Click here to see answer by stanbon(57214)

Question 587785: I need to know how to write a polynomial equation of least degree with roots -3i, 3i, i, and -i. Can someone help me?
As a note, I am a high-school senior working on my precalculus book, but I am struggling with polynomials. This question comes from the first of five units for this course, and since math builds on itself, I find it necessary to ask for help before continuing on. I use a correspondance program for school and only have a textbook to teach me. There is no teacher I can contact, and no website or workbook to accompany it. My book has only shown me how to plug in roots to a provided equation for the purpose of checking whether or not they are actual roots. However, that is not enough for me to go on.
Can someone please explain to me, step-by-step, how I would solve this problem and others like it? I have not done so well during my last few math courses because it is hard to for me to comprehend a concept based on only one example provided by a textbook. Any help you can give will be greatly appreciated, and can you please show your work so I understand exactly the steps you used? Thanks again.
Click here to see answer by scott8148(6628)

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