Question

what is the factorization of the trinomial below -x^2+x+42 A. (x+6)(x-7) B. -1(x+7)(x+6)C. -1(x-7)(x+6) D. (-x+6)(x+7)

Answer 1

C

Explanation:

-x²+x+42

=-(x²-x-42)

[7-6=1,7×-6=-42]

=-(x²-(7-6)x-42)

=-(x²-7x+6x-42)

=-[x(x-7)+6(x-7)]

=-(x-7)(x+6)

Answer 2

-(x - 7)(x + 6)

Explanation:

Step 1: Factor GCF

-1(x² - x - 42)

Step 2: Factor quadratic

-1(x - 7)(x + 6)