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

Answer:

D. -3 and  4

Step-by-step explanation:

-12 = -3 x 4

-3  + 4 = 1

so

x^2 + x - 12

=  (x - 3)(x + 4)

Answer

D.  -3 and 4

Answer 2

ANSWER

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.