Question

x² + 4x - 8 can be written in the form (x + p)^2+ q.
Find the value of p and q.

Answer 1

Step-by-step explanation:

Given: x²+4x-8

Step:1. x²+2.2x-8

Step:2. x²+2.x.2+4-4-8 (Adding 4 and subtracting 4)

Step:3. (x+2)²-12

Now by comparing (x+2)²-12 with (x+p)²+q

we have p= 2 and q= -12.

Thanks.