Answer:
p(x)= 6(x+2)^2 -3
Step-by-step 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
