Question

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

A. -1(X-5)(X+7)
B. (X-5)(X-7)
C. -1(X+5)(X-7)
B. (X+5)(X-7)

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