199k views
0 votes
Use the table to identify values of p and q that can be used as to ײ+×-12 as (x+q)

Use the table to identify values of p and q that can be used as to ײ+×-12 as (x+q-example-1
User Whitey
by
4.6k points

1 Answer

2 votes

Answer

The last line of the table is correct.

And option C is correct for the values of p and q.

p = -3

q = 4

p + q = 1

Step-by-step explanation

To solve this, the best approach is to solve this quadratic expression in order to obtain the value(s) of p and q.

x² + x - 12

= x² + 4x - 3x - 12

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

= (x - 3) (x + 4)

Comparing this with(x + p) (x + q), we see what p and q are easily.

(x - 3) (x + 4)

(x + p) (x + q)

p = -3

q = 4

(p + q) = (-3 + 4) = 1

The last line of the table is correct.

And option C is correct for the values of p and q.

Hope this Helps!!!

User Wryte
by
4.7k points