Express the following rational expression in simplest form: 9-x^2/ 10x^2-28x-6?

Answer 1

Polynomial division is difficult to show and explain in this forum, as such I will point you to a few sites:

A couple good references on how to do polynomial division are:
http://www.purplemath.com/modules/polydiv.htm
http://campus.northpark.edu/math/PreCalculus/Algebraic/Polynomial/Factoring/index.html

here are two links to polynomial division calculators:
http://library.wolfram.com/webMathematica/Education/LongDivide.jsp
http://calc101.com/webMathematica/long-divide.jsp

I'm not going to note a solution as it is to difficult to know what you are asking without the use of parenthesis to define the groupings of terms are you asking:

(9-x^2) / (10x^2-28x-6)

or

9- (x^2/ 10x^2) -28x -6 = -28x + 2.9

Answer 2

9-x^2 / 10x^2-28x-6

(3-x)(3+x) / (10x+2)(x-3)

the 2 x-3 cancel out

3+x/10x+2

Answer 3

(9 -- x^2) / (10x^2 -- 28x -- 6)
= (3 + x)(3 -- x) / 2(x -- 3)(5x + 1)
= -- (x + 3) / 2(5x + 1)

Answer 4

I'm really not sure how to do that, but I'll factor the denominator for fun.

10x^2 - 30x + 2x - 6
=5x(2x - 6) + 2x - 6
=(5x + 1)(2x - 6)

Answer 5

top simplifies to
(-x+3)(x+3)
bottom simplifies to
(5x+1)(2x-6)
This gives you
(-x+3)(x+3)/(5x+1)(2x-6)
pull out a neg on the top, and a 2 on the bottom to get
(-1)(x-3)(x+3)/(2)(5x+1)(x-3)
(x-3)'s cancel out, so you get
(-x-3)/(10x+2)

Answer 6

-x(to the 4th power)/10 -28x+3

Answer 7

3-X over 2(5x+1)

Answer 8

i think it's
-(x^2-9)/2(5x+1)(x-3)=-(x+3)/2(5x+1)

Answer 9

7x^2/3

Answer 10

You should pay attention in class