What are the factors of 2x2 + 3x – 54? check all that apply. 2x – 9 2x – 6 2x + 6 x + 9 x – 6 x + 6

2x^2 + 3x – 54 = (2x - 9) (x + 6), so A and F

ANSWER

The factors are



EXPLANATION

The given expression is


This is a quadratic trinomial.

We need to factor this by splitting the middle term.

We know that,


So


Two factors of -108 that sums up to 3 is


We now split the middle term to obtain,



We factor to obtain,


We factor further to obtain,



Hence the factors are


The correct answers are option A and F