Which of the binomials below is a factor of this trinomial? - 2x^2-16x+40

(x-2) and (x+10)

Step-by-step explanation:

The given Trinomial is (-2x² - 16x + 40) and we have to factorize it in binomials.

-2x² - 16x + 40 = - 2 (x² + 8x - 20)

= - 2[x² + 10x - 2x - 20 ]

= - 2 [ x (x + 10) - 2 (x + 10) ]

= - 2[ (x-2) (x+10) ]

Therefore, (x-2) and (x+10) are the binomials which are the factors of the given trinomial.

The answer to the question is

-2 (x^2+8x-20)

-2 (x+10) (x-2)