For this case we must factor the following expression:
[tex]-x ^ 2 + 2x + 35[/tex]
We take common factor -1, taking into account that [tex]- * - = +:[/tex]
[tex]-1 (x ^ 2-2x-35)[/tex]
We factor the expression within the parenthesis, for this we look for two numbers that, when multiplied, result in -35 and when added, result in -2. These numbers are -7 and +5.
[tex]-7 + 5 = -2\\-7 * 5 = -35[/tex]
Thus, the factored expression is:
[tex]((x-7) (x + 5))[/tex]
Finally we have:
[tex]- (x-7) (x + 5)[/tex]
Answer:
Option C
