Question

What are the restrictions of q²+3q-4 over q²-7q-8, and why?

A. q≠ -1 and q≠ 8
B. q≠ -1 and q≠4
C. q≠ 1 and q≠-8

Answer 1

simply A.

q≠ -1 and q≠ 8

Answer 2

A. q≠ -1 and q≠ 8

Explanation:

the restrictions are based on the denominator

(q²-7q-8)

factor this

(q-8) (q+1)

using the zero product property

q-8=0 and q+1 =0

q =8 q=-1

the denominator cannot equal zero so q≠ 8 and q≠-1