Question

Use the table to identify values of p and q that can be used to factor x2 + x – 12 as (x + p)(x + q).

A. –2 and 6
B. 3 and –4
C. –3 and 4
D. 2 and –6

Answer 1

For this case we have the following polynomial:
x2 + x - 12
Factoring we have:
(x-3) (x + 4)
We note that the polynomial is written as:
(x + p) (x + q)
Thus,
p = -3
q = 4
Answer:
The values of p and q that can be used to factor x2 + x - 12 as (x + p) (x + q) are:
C. -3 and 4