Question

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

Answer 1

2(x+p)^2+q=2x^2+4px+(2p^2+q), compare with ..... 2x^2 + 8x+3 p=2,W=3-2p^2=-5, so the result is 2(x+2)^2-5