Question

Write p(x) = 21 + 24x + 6x2 in vertex form.

Answer 1

p(x)= 6(x+2)^2 -3

Explanation:

Answer 2

p(x)= 6(x+2)^2 -3

Explanation:

Start with equation reworded

6x^2+24x+21

Factor

6(x^2+4x+7/2)

Complete the square

6(X^2 + 4x + 2^2 - 2^2 + 7/2)

Use binomial formula

6((x+2)^2 - 2^2 + 7/2)

Simplify

6((x+2)^2 - 1/2)

Expand

6(X+2)^2 - 3