Question

50 points
Use the table to identify values of p and q that can be used to facto
x2 + x - 12 as (x + p)(x + 4).
NEED HELP ASAP

Answer 1

Answer:

-3, 4

Explanation:

x² + x - 12

factorize

x² + 4x -3x - 12

take out common terms

x(x + 4) -3(x + 4)

collect into groups

(x-3)(x+4)

p = -3, q = 4

Answer 2

Answer:

C.  -3 and 4

Step-by-step explanation:

In order to factor a quadratic equation in the form $ax^2+bx+c$
we need to find a pair of numbers that multiply to $ac$ and sum to $b$.

Therefore, in order to factor $x^2+x-12$ we need to find a pair of numbers that multiply to -12 and sum to 1.

The only pair of numbers in the table that sum to 1 are:

p = -3 and q = 4

Therefore, the solution is option C.