Question

2x^2+8x+3 in the form 2(x+p)^2+q

Answer 1

2(x+2)^2-5

Explanation:

2(x+p)^2+q

=2(x^2+2px+q^2)+q

=2x^2+4px+2p^2+q

Comparing coefficients with the 2x^2+8x+3

4p=8, p=2

2p^2+q=3, Solving for q given p, q=-5

Substituting values of p and q,

2(x+2)^2-5