Question

Factor the trinomial below x^2-12+35

Answer 1

B. (x - 5)(x - 7).

Explanation:

x^2 - 12x + 35

We need 2 numbers whose product = +35 and sum = -12.

These are -5 and -7.

So the factors are (x - 5)(x - 7).

Answer 2

B

Explanation:

Given

x² - 12x + 35

Consider the factors of the constant term ( + 35) which sum to give the coefficient of the x- term

The factors are - 5 and - 7, since

- 5 × - 7 = + 35 and - 5 + - 7 = - 12, hence

x² - 12x + 35 = (x - 5)(x - 7) → B