Question

What is the factorization of the trinomial below -x^2 + 2x + 48

Answer 1

For this case we must factor the following expression:

$-x ^ 2 + 2x + 48$

We take the sign "-" as a common factor of the expression, taking into account that:

$- * - = +\\- (x ^ 2-2x-48)$

To factor, we must find two numbers that, when multiplied, result in -48 and when added, result in -2. These numbers are -8 and +6.

$-8 + 6 = -2\\(-8) * (+ 6) = - 48$

Then, we factor the expression within the parenthesis as:

$- ((x-8) (x + 6))$

Answer:

$- (x-8) (x + 6)$