Question

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

Answer 1

the answer to the question is

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

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

Answer 2

(x-2) and (x+10)

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.