Question

Factor the trinomial below.

x^2-5x-14

A. (x-2)(x-7)
B. (x+2)(x-7)
C. (x+2)(x+7)
D. (x-2)(x+7)

Answer 1

The answer is B.
Proof:
-7+2=-5
-7*2=-14

Also, when you FOIL it becomes
x^2-7x+2x-14
That simplifies to
x^2-5x-14

Answer 2

The factored form is

`x^2-7x+2x-14=(x+2)(x-7)`

Explanation:

Given the trinomial

`x^2-5x-14`

we have to factor the above trinomial.

`x^2-5x-14`

By middle term splitting method

`x^2-7x+2x-14`

Taking x common from first two terms and 2 from last two terms

`x(x-7)+2(x-7)`

`(x+2)(x-7)`

which are required factors.

Hence, option B is correct.