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

-3, 4

Step-by-step 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

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.