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

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


Question 155321: Combining all four operations of polynomials, can this be solved or simplified?
[9x^2 - (3/4)x] - [(1/2)x - 4]
Thank you.

Click here to see answer by checkley77(12844) About Me 

Question 155350: How do I divide the above question of:
(4x^2-9 / 4x^ +12x+9) / (6x-9)

Click here to see answer by checkley77(12844) About Me 

Question 155371: Explain in your own words how to reverse FOIL when factoring a polynomial of the form ax^2 + bx + c when a = 1. Give an example with your explanation.please help, i dont understand this at all..
Click here to see answer by stanbon(75887) About Me 

Question 155380: Find the LCM of s^2-16 and s^2+6s+8.
Click here to see answer by checkley77(12844) About Me 

Question 155374: 4y^3 - 64u^2y
y^2 + 8y + 7

15z^2 - 26z - 21
21uv^3 - 46uv^2 + 24uv

Click here to see answer by checkley77(12844) About Me 

Question 155373: Factor
5x^2y^6z^4 - 15x^4y^5z^3 + 20x^3y^5z^2
12xy + 20yz - 40wy
16x^2 - 49

Click here to see answer by checkley77(12844) About Me 

Question 155367: (x+3)/6=3/8+(x-5)/4

Click here to see answer by checkley77(12844) About Me 

Question 155366: (30y^4 - 12y^2 - 36y) ÷ (6y)
Click here to see answer by checkley77(12844) About Me 

Question 155399: please help me solve this:
(x - 2y)(x + 2y)
thank you.

Click here to see answer by checkley77(12844) About Me 

Question 155398: I need to solve this, yet cannot:
(3x - 2)^2
Thank you for your help.

Click here to see answer by checkley77(12844) About Me 

Question 155295: When solving a rational equation, why is it important to to check your final answer(s)?
Click here to see answer by Fombitz(32388) About Me 

Question 155411: Mulitply (x-5)(x-4)
Click here to see answer by jainenderkapoor(61) About Me 

Question 155415: Explain in your own words how to reverse FOIL when factoring a polynomial of the form ax2 + bx + c when a = 1. Give an example with your explanation.
Click here to see answer by Edwin McCravy(20054) About Me 

Question 155478: http://i8.photobucket.com/albums/a38/darael14/polynomial_5.jpg

..this is a link to a diagram that I cannot format here on this site. If you could please look at this and tell me how to write this as a polynomial.Thank you so much!!!!!

Click here to see answer by oscargut(2103) About Me 
Question 155478: http://i8.photobucket.com/albums/a38/darael14/polynomial_5.jpg

..this is a link to a diagram that I cannot format here on this site. If you could please look at this and tell me how to write this as a polynomial.Thank you so much!!!!!

Click here to see answer by jim_thompson5910(35256) About Me 

Question 155476: http://i8.photobucket.com/albums/a38/darael14/polynomial_4.jpg
this is a link to a diagram that I cannot format here on this site. If you could please look at this and tell me how to write this as a polynomial. I have another one that I will post directly after this one. Thank you for all your help. You tutors are amazing.

Click here to see answer by oscargut(2103) About Me 
Question 155476: http://i8.photobucket.com/albums/a38/darael14/polynomial_4.jpg
this is a link to a diagram that I cannot format here on this site. If you could please look at this and tell me how to write this as a polynomial. I have another one that I will post directly after this one. Thank you for all your help. You tutors are amazing.

Click here to see answer by Earlsdon(6294) About Me 

Question 155521: Please help me factor this: 3x%5E5%2B6x%5E3-45X
Click here to see answer by jim_thompson5910(35256) About Me 

Question 155522: Please help me solve: +sqrt%285x%2B1%29+=+x-4+
Click here to see answer by Earlsdon(6294) About Me 

Question 155546: Please help me out on this equation: +x%5E%282%2F3%29+=+16+ I got an answer, but they were both extraneous and I want to know if I did it right.
Click here to see answer by checkley77(12844) About Me 

Question 155562: I am currently working on factoring trinomials. I need help factoring the equation: 2x%5E2-6x%2B2 This problem comes from the Intermediate Algebra: Graphs and Functions (Third Edition) by the Houghton-Miffler Company.
Chapter 1, section 4, page 48, problem number 32. Please help me and thank you very much.

Click here to see answer by checkley77(12844) About Me 
Question 155562: I am currently working on factoring trinomials. I need help factoring the equation: 2x%5E2-6x%2B2 This problem comes from the Intermediate Algebra: Graphs and Functions (Third Edition) by the Houghton-Miffler Company.
Chapter 1, section 4, page 48, problem number 32. Please help me and thank you very much.

Click here to see answer by stanbon(75887) About Me 

Question 155512: y-6<10
Click here to see answer by checkley77(12844) About Me 

Question 155508: 18x^7y^6-24x^5y^8+12X^3y^11
I need to factor completely

Click here to see answer by checkley77(12844) About Me 

Question 155494: we are discussing factoring and we have to solve these problems
7. x^2 - 36 = 0
8. The area of a triangle is 13.5 square meters. Find the base and height of the rectangle if its height is 6 meters greater than its base. Use an equation and the formula ---> area of a triangle = 0.5(base)(height).


Click here to see answer by checkley77(12844) About Me 

Question 155492: we are discussing factoring and we have to solve these problems
4. 5x^2 = 6x - 16x^2
5. 6x^2 + 24x = 2x^2 - 36
6. 3x^2 - 17x + 20 = 0

Click here to see answer by checkley77(12844) About Me 

Question 155628: Please help me with these polynomial problems
1. 36x^2 - 4y^2
2. 9x^2 + 40x + 16
3. 3x^2 - 30x + 48

Click here to see answer by checkley77(12844) About Me 

Question 155645: Please help with quiz question.
a-b b^2 -a^2
_____ / _________
3 6

Click here to see answer by jim_thompson5910(35256) About Me 

Question 155511: (3m^2-9)+(5m^3-2m^2+1)
Click here to see answer by checkley77(12844) About Me 

Question 155491: we are discussing factoring and we have to solve these problems.
1. (2x - 3)(x - 4) = 0
2. x^2 + 3x - 28 = 0
3. x^2 + 16 = -10x

Click here to see answer by checkley77(12844) About Me 

Question 155647: can you help?
1. 3/x = 7/5
2.5a^2b/12a multiplied by 2a^3b/15ab^6



Click here to see answer by checkley77(12844) About Me 

Question 155646: Can you help solve this
2 4
_ + __
3 5
_________
2 3
__ - ___
5 2

Click here to see answer by checkley77(12844) About Me 

Question 155653: write an equation that expresses the relationship. Use k as the constant of variation.
d varies directly as the square of y
a) d= k sqrt y
b) d= k/sqrt y
c) d= ky^2
d) d= k/ y^2

Click here to see answer by Alan3354(69443) About Me 

Question 155655: Leading men. Bob Hope was born 2 years after Clark Gable and 2 years before Henry Fonda. In 1951, after all three of them had their birthdays, the sum of their ages was 144. In what years were they born?
Click here to see answer by jojo14344(1513) About Me 

Question 155672: (5x^2+9x-1)+(3x^2+5x-8)
Click here to see answer by Alan3354(69443) About Me 

Question 155662: Find the horizontal asymptote, if any, of the graph of the rational function.
g%28x%29=%286x%5E2%29%2F%282x%5E2%2B1%29
a)y=3
b)y=1%2F3
c)y=0
d)no_horizontal_asymptote

Click here to see answer by Edwin McCravy(20054) About Me 

Question 155694: Factor completely:
3x2 – 30x + 48

Click here to see answer by stanbon(75887) About Me 

Question 155726: Write a quadratic equation in the variable x having the given numbers as solutions. Type the equation in standard form ax^2+bx+c=0. Solutions are -9,4.
The answer I got is x^2+13x-9=0. Is that right?

Click here to see answer by checkley77(12844) About Me 

Question 155724: If anyone can help me...
The width of a rectangle is 4ft. less than the length. The area is 5ft^2. Find the length and the width.
How do I do this?

Click here to see answer by checkley77(12844) About Me 
Question 155724: If anyone can help me...
The width of a rectangle is 4ft. less than the length. The area is 5ft^2. Find the length and the width.
How do I do this?

Click here to see answer by nerdybill(7384) About Me 

Question 155721: I need help with this problem:
The number of tickets sold each day for an upcoming performance of Handels Messiah is given by N(x)=-0.3^2+7.8x+12, where x is the number of days since the concert was first announced. When will daily ticket sales peak and how many tickets will be sold that day? (I don't know how to go about doing this problem)

Click here to see answer by ankor@dixie-net.com(22740) About Me 

Question 155829: Find the zeros of the polynominal factor into first degree factors and graph the polynominal equation. y = x^3 + 4x^2 - x - 4

Click here to see answer by oscargut(2103) About Me 

Question 155737: what on earth does this mean? How do I either solve it or simplify it or WRITE it?
5x^2 + 28x - 10 / x + 6 or 5x^2 + 28x - 10 over x + 6
thank you, if you know any idea of what I should do with this, I'd appreciate it.

Click here to see answer by Fombitz(32388) About Me 

Question 155895: The value of f(6)=-2 is minimum or maximum.
I answered minimum. Right?

Click here to see answer by Alan3354(69443) About Me 

Question 155894: Find the intercepts of f(x)=6x+x(x-4)
My answer is -2,0
Am I right?

Click here to see answer by Alan3354(69443) About Me 

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