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

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

Question 55546: Can you please simplify this and tell me how you did it?
(x-2)/(2x-1)
Click here to see answer by stanbon(57361)

Question 55514: Is this correct?
18x^5+15x^4-75x^3z^2
Answer? 3x^3(6x+5z)(x-5z)
Click here to see answer by stanbon(57361)

Question 55645: Please help simplify
Click here to see answer by funmath(2925)

Question 55643: x^2-3x+4ax-12a please factor
Click here to see answer by funmath(2925)

Question 55642: Please help factor completly 128x^3-54
Click here to see answer by funmath(2925)

Question 55665: find all roots of the polynomial x^3-x^2+16x-16.
I took the roots of -16 (+- 1,2,4,8,16) and x^3 (+-1)

I used synthetic div to find roots
+1 worked but none of the others did??

Answers to choose from
1,4,-4
-1,4,-4
-1,4i,-4i
1,4i,-4i
Click here to see answer by stanbon(57361)

Question 55666: This one stumps me and the book if NO help, no examples

given that (3x-a)(x-2)(x-7)=3x^3-32x^2+81x-70, determine value of a????
I had no idea where to start.
Click here to see answer by stanbon(57361)

Question 55701: x^3-2x^2-x+2 please help factor
Click here to see answer by funmath(2925)

Question 55707: Did I complete this right?
2/5=x-2/20
I started by multiplying 5 through the problem:
(5)(2/5)=(5)(x-2/20) and got: 2=5x-10/100!
Is this right or did I miss a step? Any advice would be great!
Thanks!
ac
Click here to see answer by stanbon(57361)

Question 55705: 5/x+6+2/x^2+7x+6=3/x+1
This one expression is stumping me! Do I multiply through with 6?
Please help!
Thanks~~
CH
Click here to see answer by stanbon(57361)

Question 55702: evaluation of polynomial with one variable
y^2+9y+7
y=-6
can not figure it out
Click here to see answer by tutorcecilia(2152)

Question 55699: Please help factor 36^2+4
Click here to see answer by funmath(2925)

Question 55695: please help factor
x^3-2x^2-x+2
Click here to see answer by funmath(2925)

Question 55765: The diameter of a circle is 12 meters. Find the area of the circle.
Click here to see answer by checkley71(8403)

Question 55728: Can not figure this out
y^2-5y+3
y=-5
Please help
Click here to see answer by stanbon(57361)

Question 55882: (x^3-8)/(x^2+2x+4) please help simplify
Click here to see answer by Edwin McCravy(8909)

Question 55888: After 30 yrs I am "back at it". I need your help using the rational zero theorem, Decartes's rules of signs and theorem on bounds to find all of the real and imaginary roots to 6x^3-11x^2-46x-24=0. So far I have found that 4 is a root. Thank for taking the time to help.
Click here to see answer by stanbon(57361)

Question 55866: Find an expression that represents it's perimeter.
3/4x,1/x^2, and 5/x^2
I have no idea what it means to represent or even a clue as to how to solve this. Can someone help me please.
Click here to see answer by ankor@dixie-net.com(15656)

Question 55907: I need to come up with an example of a prime quadratic pilynomial in one variable, then compute its discriminant is possitive. Thank you !
Click here to see answer by stanbon(57361)

Question 55864: Word problem.
Fungicides account for 1/10 of the pesticides used in the U.S. Insecticides account for 1/4 of all the pesticides used in the U.S. The ratio of fungicides to insecticides used in the U.S. can be written 1/10 divided by 1/4. Write this ratio in simplest form.
I came up with the answer of 2/5, could I be right.
Click here to see answer by stanbon(57361)

Question 55911: I am sorry but that is all he gave us. The question is come up with you rown example of a prime quadratic polynomial in one variable, then compute its discrimination to prove that it is prime. Choose coefficients so that your discriminant is positive. I have no clue on this at all.
Click here to see answer by venugopalramana(3286)

Question 55834: FIND A POLYNOMIAL WITH LEADING COEFFICIENT 1 AND DEGREE 3 THAT HAS ROOTS -1, 1,3 AS ROOTS
Click here to see answer by ankor@dixie-net.com(15656)

Question 55973: 5/x - 2/x = 3
Click here to see answer by funmath(2925)

Question 56098: (6/x-5)-(1/3x-15)+(4/5-x) simplify and reduce, I got -5/(3)(-1)(x-5)
Click here to see answer by funmath(2925)

Question 56082: How would I simplify this rational expression that is in fraction form?
9-b^2/b^2-b-6
I came up with -b+3/b-2. Is that correct?
Click here to see answer by funmath(2925)

Question 56048: I did not see anything on rational expressions. can you assist me is solving this problem?

-2x-8 / x(square)+ 2x-8
Click here to see answer by funmath(2925)

Question 56111: Can you help me divide a rational expression? Here is the problem:
2x-6/21 divided by 5x-15/12. I am not sure how to start out, do I need to try to factor first?
Click here to see answer by funmath(2925)

Question 56160: 8. Solve for y: x = y / y + 1
Click here to see answer by funmath(2925)

Question 56144: Here is another problem with addition just in case the steps are different than subtraction.
(4y/y^2+6y+5)+(2y/y^2-1)
Click here to see answer by stanbon(57361)

Question 56142: Hello, I need some assistance with problems such as this. I can figure out the LCD but my text then tells me to build up. Which according to the book means to build up each fraction to an equivalent fraction with the LCD as the denominator. I don't understand what that means.
(3/x^2+4x+3)- (1/x^2-9)

Click here to see answer by checkley71(8403)

Question 56230: Can someone check this and see if I have done this correctly? thank you
Solve for x:

3(2 + x)= 5x - 4.2

6 + 3x = 5x - 4.2
- 3x = -3x
6 = 2x - 4.2
+4.2 = + 4.2
10.2 = 2x
5.2 = x

Click here to see answer by BGluvsmath(64)

Question 56233: Can someone help me divide this rational expression?
x^2+2x-15/4x^2 Divided by x^2-25/2x-10
Thanks! I always have problems with these!
ac
Click here to see answer by stanbon(57361)

Question 56237: Subtract and express in simplest form:
2x/x-5 - 10/x-5
Thanks all!
CH
Click here to see answer by funmath(2925)

Question 56228: Problem:
Solve for y:
-2x + 4y = 8x + 12
Thanks for helping.
Click here to see answer by funmath(2925)

Question 56228: Problem:
Solve for y:
-2x + 4y = 8x + 12
Thanks for helping.
Click here to see answer by ankor@dixie-net.com(15656)

Question 56317: Please help!
Completly factor the following:
3x^3y - 12x^2y + 9xy
This is as far as I got 3x x y
Thanks,
Lackinmath
Click here to see answer by funmath(2925)

Question 56355: Can you help me with solving a rational equation? The problem is:
x^2/x+4 + 8x+16/x+4. I could not find any problems like this worked on this site. Thanks.
Click here to see answer by scoop(27)

Question 56356: How do I solve a rational equation? The problem is 3/x-1 = 6/x+2. Any help would be appreciated.
Click here to see answer by Cintchr(481)

Question 56353: The problem I am having difficulty with is subtracting a rational expression.
The problem is as follows:
2/5 - y/y-2
I came up with -3y-2/5(y-2). Did I do it right? Thanks.
Click here to see answer by Cintchr(481)

Question 56437: I think I get scared of fractions and algebra. I am not sure I ask previously in the correct way. Can you help with this? Thanks!
solve for x:
13 4
_______ = _______
x-1 x+2
or 13 over x-1 equal(=) to 4 over x +2. Maybe that is clear enough.

any assitance would be appreciated.''.

Click here to see answer by checkley71(8403)

Question 56445: simplify:
25x^2
______
5
_
x
thanks for your help!
Click here to see answer by funmath(2925)

Question 56472: Can you help me solve.
4x^4 - 3xy^3 when x = -1 and y= -2
thanks
Click here to see answer by stanbon(57361)

Question 56499: 4/(x-1)-2/(x+2)=4x-4-2x-4=2x-8=x=4
Click here to see answer by chechoy_00@yahoo.com(1)

Question 56483: I'm just trying to find out how to solve this problem which is a rational expression:
5/(2x-4) - 3/(2-x)
Click here to see answer by funmath(2925)

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