SOLUTION: I need help please. Factor and simplify 2x^2+5x+3/2x^2-x-6. Answer Options: A. x^2+5x+3/x^2-x-6 B. 5x+3/-x-6 C. x+1/x-2 D. It is already fully simplified.

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: I need help please. Factor and simplify 2x^2+5x+3/2x^2-x-6. Answer Options: A. x^2+5x+3/x^2-x-6 B. 5x+3/-x-6 C. x+1/x-2 D. It is already fully simplified.      Log On


   



Question 759106: I need help please.
Factor and simplify 2x^2+5x+3/2x^2-x-6.
Answer Options:
A. x^2+5x+3/x^2-x-6
B. 5x+3/-x-6
C. x+1/x-2
D. It is already fully simplified.

Answer by rothauserc(4718) About Me  (Show Source):
You can put this solution on YOUR website!
Factor and simplify 2x^2+5x+3/2x^2-x-6
numerator factors into (2x+3)*(x+1)
denominator factors into (2x+3)*(x-2)
so we have (2x+3)*(x+1) / (2x+3)*(x-2)
then cancel (2x+3) from numerator and denominator and we have
(x+1) / (x-2) and the answer is C