Factor the trinomial f(x) = 2x² + 5x – 12 ? Question Factor the trinomial f(x) = 2x² + 5x – 12 ? in progress 0 Math Maria 2 weeks 2021-11-23T19:15:45+00:00 2021-11-23T19:15:45+00:00 1 Answer 0 views 0

## Answers ( )

Answer:(x + 4)(2x – 3)

Step-by-step explanation:Given

f(x) = 2x² + 5x – 12

Consider the factors of the product of the x² term and the constant term which sum to give the coefficient of the x- term.

product = 2 × -12 = – 24 and sum = + 5

The factors are + 8 and – 3

Use these factors to split the x- term

2x² + 8x – 3x – 12 ( factor the first/second and third/fourth terms )

2x(x + 4) – 3(x + 4) ← factor out (x + 4) from each term

(x + 4)(2x – 3)

Thus

f(x) = 2x² + 5x – 12 = (x + 4)(2x – 3) ← in factored form