Question

Use the table to identify values of pand a that can be used to factor

x2 + x - 12 as (x + p)(x+q).

Answer 1

D. -3 and 4

Explanation:

-12 = -3 x 4

-3 + 4 = 1

so

x^2 + x - 12

= (x - 3)(x + 4)

Answer

D. -3 and 4

Answer 2

D. -3 and 4

EXPLANATION

The given quadratic trinomial is

`{x}^(2) + x - 12`

To factor this we need to find two factors of -12 that sum up to 1, the coefficient of x.

We can see from the table that, when p=-3 and q=4, then p+q =1.

The trinomial can now be factored as:

`{x}^(2) + x - 12 = (x - 3)(x + 4)`

The correct answer is D.