Question

What is the factorization of the trinomial below -x^2+x+42

Answer 1

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

Step-by-step explanation:

Apex

Answer 2

For the given trinomial

$a=-1, b=1 ,c=42$

We need to multiply a by c
$-1 \times 42 = - 42$

We split the middle term with these two factors
$7,-6$
To obtain,

$- {x}^{2} + 7x -6x + 42$
We now factor

$- {x}^{2} + x + 42 \: = x( - x + 7) + 6( - x + 7)$
This implies

$- {x}^{2} + x + 42: = (x + 6)(7 - x)$