Bonus Simplify the expression below Show all work to support

Bonus: Simplify the expression below. Show all work to support you answer.

Bonus: Simplify the expression below. to support you answer. 3x^2 + 20x + 12/x^2 + x - 30

( 3x^2 + 20x + 12) / ( x^2 + x - 30 )

factoring the top and bottom expression

3x^2 + 20x + 12 = ( 3x+2 ) ( x+ 6)

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

putting the expression in factored form

( 3x+2 ) ( x+ 6) / ( x+ 6) ( x- 5)

cancelling the common factors we are left with

( 3x+ 2) / (x-5 )