What is the factorization of the trinomial below -2x^3-2x^2+12x

D

Step-by-step explanation:

Given

- 2x³ - 2x² + 12x ← factor out - 2x from each term

= - 2x(x² + x - 6) ← factorise the quadratic

Consider the factors of the constant term (- 6) which sum to give the coefficient of the x- term (+ 1)

The factors are + 3 and - 2, since

3 × - 2 = - 6 and 3 - 2 = + 1, thus

x² + x - 6 = (x + 3)(x - 2) and

- 2x³ - 2x² + 12x = - 2x(x + 3)(x - 2) → D

A)y = − 1 /5 x +  16/ 5

Step-by-step explanation: