SOLUTION: A student was given the following problem: 4x^2-9 _______ divided by 6x-9 4x^2+12x+9 He says his answer is 3(2x-3) Is he correct? If not explain what would you su

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: A student was given the following problem: 4x^2-9 _______ divided by 6x-9 4x^2+12x+9 He says his answer is 3(2x-3) Is he correct? If not explain what would you su      Log On


   

Question 182049This question is from textbook
: A student was given the following problem:
4x^2-9
_______ divided by 6x-9
4x^2+12x+9
He says his answer is 3(2x-3) Is he correct?
If not explain what would you suggest he do to solve
the problem? Thank You! This question is from textbook

Answer by Mathtut(3670) About Me  (Show Source):
You can put this solution on YOUR website!
4x^2-9
_______ divided by 6x-9
4x^2+12x+9
:
%28%284x%5E2-9%29%2F%284x%5E2%2B12x%2B9%29%29%2F%283%282x-3%29%29 expression 1
:
4x%5E2-9=%282x%2B3%29%282x-3%29
4x%5E2%2B12x%2B9=%282x%2B3%29%282x%2B3%29
:
so we will substitute these factors into exp 1 and invert the bottom fraction and multiply
:
%28%282x%2B3%29%282x-3%29%29%2F%28%282x%2B3%29%282x%2B3%29%2A%283%282x-3%29%29%29
:

:
1%2F%283%282x%2B3%29%29