Question

What Are The Factors Of The Expression? -X2+2x+35

Answer 1

For this case we must factor the following expression:

$-x ^ 2 + 2x + 35$

We take common factor -1, taking into account that $- * - = +:$

$-1 (x ^ 2-2x-35)$

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.

$-7 + 5 = -2\\-7 * 5 = -35$

Thus, the factored expression is:

$((x-7) (x + 5))$

Finally we have:

$- (x-7) (x + 5)$

Answer:

Option C