Answer:
(x+2)² - 11
Step-by-step explanation:
Regroup terms
x² + 4x - 7
(x² + 4x) - 7
Complete the square
coefficient of x term: 4
divide coefficient in half: 2
square it: 2²
use 2² to complete the square:
(x² + 4x) - 7 = (x² + 4x + 2²) - 2² - 7 = (x+2)² - 11
