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

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

Question 137332: Graph the polynomail function:
f(x) = 1/3 - 1/3 x to the fourth power.
Click here to see answer by Fombitz(13828)

Question 137358: The cost, in millions of dollars, to remove x% of pollutin in a lake modeled by
c = 6,000/200 - 2x.
3rd question: What is the cost to remove 99% of the pollutant?
Click here to see answer by stanbon(57347)

Question 137359: The cost, in millions of dollars, to remove x% of pollution in a lake modeled by
C = 6,000 / 200 - 2x.
4th Question: For what value is the equation undefined?
Click here to see answer by stanbon(57347)

Question 137357: The cost, in millions of dollars, to remove x% of pollution in a lake modeled by
C = 6,000/ 200 - 2x.
2nd question: What is the cost to remove 90% of the pollutant?
Click here to see answer by oscargut(891)

Question 137355: The cost, in millions of dollars, to move x% of pollution in a lake modeled by
C= 6,000/200 - 2x.
Question: What is the cost to remove 75% of the pollutant?
Click here to see answer by checkley77(12569)

Question 137431: The length of a rectangle is 1 inch. less than twice the width. the area of the rectangle is 21 spuare inches. What is the length of the rectangle.
Click here to see answer by checkley77(12569)

Question 137449: One person can do a job in 8 hours. a second person can do it in 12 hours. if the first person works 2 hours less than the second, how many hours will it take them working together?
Click here to see answer by scott8148(6628)

Question 137481: When doing multiplication rational expressions and you have reduced as far as possible, and you are doing the canceling part, can you cancel the (x-7) in this problem even though they are on different sides?
3(x-7)/x+2 X x+4/4(x-7)
If you can I know what to do from there, but if not I am stuck, here is the orginial problem...
3(x-7)/(x+2)(2x-1) X 4x^2+6x-4/4x-28
Click here to see answer by stanbon(57347)

Question 137476: I need to know the LCD of this problem, I do not need the problemed to be figured out, I just need the LCD.
4/x-5 - 1/5 = -5/5x-25
Click here to see answer by oscargut(891)

Question 137471: is x+1 a factor of x^3+6x^2-2x-7?
So far, I have gotten this far:
1....6....2....7
....5...-35..-6
_________________
1...0....-33....1

Click here to see answer by oscargut(891)

Question 137478: I do not know what to do next, I have worked as far as I can but I do not now what to do know.
2x^2-18/4x^8 Divided by 6x^2+6x-36/8x^4
Here is what I have done
2x^2-18/4x^8 X 8x^4/6x^2 + 6x -36
2(x^2 - 9)/4x^8 X 8x^4/6(x^2 + x - 6)
2(x^2 - 9)/4x^8 X 8x^4/6(x^3 -6)
x^2 - 9/2x^8 X 4x^4/3(x^3 - 6)

Click here to see answer by oscargut(891)

Question 137516: Hi I have been trying to figure this out but it seems there are no examples in my book or anywhere. The equation is
also there is a factoring question that I think I did correctly but it doesn't seem right to me.
It says assume that the expressions given are the denominators of fractions find the LCD.
7a+14, a^2+2a
now I got all the way to 7(a+2) and a(a+2) now is the the LCD (a+2) but then what do I do with the 7 and a? Thanks so much
Click here to see answer by Earlsdon(6287)

Question 137534: Factor the polynomial f(x). Then solve the equation f(x)=0
f(x)=x^3+4x^2-17x-60
Click here to see answer by stanbon(57347)

Question 137591: Simplify This Rational Expression
4a/3a+a^2
Click here to see answer by checkley77(12569)

Question 137611: 4d(squared)-16

Click here to see answer by solver91311(16885)

Question 137613: Can 4u^2-9u+4 be factored? If so could you please show me how?
Click here to see answer by solver91311(16885)

Question 137620: 3a+9/a*a^2/a^2-9 Find the product

Click here to see answer by solver91311(16885)

Question 137650: One number is five more than a second number. The product of the two numbers is 374. Use guess and check or other means to find the two numbers
Click here to see answer by scott8148(6628)

Question 137660: The sum of two integers is 36 and their product is 128. Find the integers.
Click here to see answer by stanbon(57347)

Question 137744: Please help me solve this equation -6d-30/d+5.
Click here to see answer by stanbon(57347)

Question 137744: Please help me solve this equation -6d-30/d+5.
Click here to see answer by solver91311(16885)

Question 137845: can you please help me factor this:
x squared + 4 + 3
Click here to see answer by stanbon(57347)

Question 137847: can you factor the following for me too and show me your work i know your answer was right on the other one but i don't understand how to do it:
s squared - 10s + 16
Click here to see answer by scott8148(6628)

Question 137873: can you please factor this problem for me and show how it is done:
x squared + 6x - 72
Click here to see answer by ankor@dixie-net.com(15652)

Question 137873: can you please factor this problem for me and show how it is done:
x squared + 6x - 72
Click here to see answer by Fombitz(13828)

Question 137873: can you please factor this problem for me and show how it is done:
x squared + 6x - 72
Click here to see answer by Edwin McCravy(8909)

Question 137956: On this problem I know what to do, I just do not know how to do it. I think I droped my brain somewhere and left it, cause this is something I should be able to do!!
10x^2-17x=63
Click here to see answer by Earlsdon(6287)

Question 137954: 4x^2-20x+3/2x+1 + 2x^2-25x-27/4x+2
Okay, I can do this one, I just wanted to make sure my LCD was right
LCD=4x+2
Click here to see answer by Earlsdon(6287)

Question 137949: over
Click here to see answer by solver91311(16885)

Question 137955: On this problem I know what to do, I just do not know how to do it. I think I droped my brain somewhere and left it, cause this is something I should be able to do!!
4x^2-15x=3
Click here to see answer by solver91311(16885)

Question 137951: Okay, I need help!!
2x^5/7y62 X 21y^11/5x^9
I appreciat any help!!
Click here to see answer by ankor@dixie-net.com(15652)

Question 137913: what is the answer to 81x4-16y4
Click here to see answer by checkley77(12569)

Question 138041: Can you please help me solve this equation? I tried to add like terms and solve it that way, but I don't think thats right.Please help me.

Thank you for any help you can provide.
Click here to see answer by stanbon(57347)

Question 138117: factor the following :
1) x2 – 16x + 63
2) 4x2 + 34x + 42
3) 16x2 + 40x + 25

Click here to see answer by checkley77(12569)

Question 138177: How do we solve this problem?
Which of the following expressions represents the product of 3 less than twice x and 2 more than the quantity 3 times x ?
Click here to see answer by stanbon(57347)

Question 138173: Use the Rational Zero Theorem to list all possible rational zeros for the given functions.
f(x)=x^4+3x^3-4x^2+5x-12
Click here to see answer by solver91311(16885)

Question 138112: A rectangle is twice as long as it is wide and its area is 968sq ft. What is its lenghth?
Click here to see answer by scott8148(6628)

Question 138226: I have to facter the "special cases".
I am having trouble with: 8x^3-32x
Click here to see answer by solver91311(16885)

Question 138229: I can't figure this out!!!
I have to factor 2x^3+40x^2+200x
I have tried fro 30 mins. The 200 and the 3 (exponent confuse me)
Click here to see answer by scott8148(6628)

Question 138256: simplify
5xy - 3y
---------
9 - 15x

Click here to see answer by stanbon(57347)

Question 138166: Write an expression which represents the product of 3 less than twice x and 2 more than the quantity 3 times x.
Click here to see answer by checkley77(12569)

Question 138239: k*x^2 = 2*m*g*(h+x)
What does x = ?
Click here to see answer by solver91311(16885)

Question 138260: (ab4)(ab2)
Click here to see answer by checkley77(12569)

Question 138298: I am completely lost on this question, it is the operation on polynomals, including long division:
2x+7 / 2x^4+21x^3+35x^2-37x+46
Any assistance would be appreciated. Thank you.
Click here to see answer by stanbon(57347)

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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, 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