For this case we must factor the following expression:
[tex]-x ^ 2 + 2x + 48[/tex]
We take the sign "-" as a common factor of the expression, taking into account that:
[tex]- * - = +\\- (x ^ 2-2x-48)[/tex]
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.
[tex]-8 + 6 = -2\\(-8) * (+ 6) = - 48[/tex]
Then, we factor the expression within the parenthesis as:
[tex]- ((x-8) (x + 6))[/tex]
Answer:
[tex]- (x-8) (x + 6)[/tex]
