Question

What is the factorization of the polynomial below?
-X^2-15x - 56

Answer 1

`-(x+7) (x+8)`

Explanation:

`-x^(2) - 15x-56`

Write - 15x as a difference

`-x^(2) -7x-8x-56`

Factor out - x from the expression

`-x(x+7)-8x-56`

Factor out - 8 from the expression

`-x (x+7)-8(x+7)`

Factor out - (x + 7) from the expression

`-(x+7)x(x+8)`

Answer 2

`-\left(x+7\right)\left(x+8\right)`

Explanation:

`-X^2-15x - 56\\\\\mathrm{Factor\:out\:common\:term\:}-1\\\\=-\left(x^2+15x+56\right)\\\\=-\left(x+7\right)\left(x+8\right)`