How do you complete the square of h(x)= x^2 + 6x + 7

asked Apr 19, 2021 69.8k views

1 vote

by Rekcs

5.0k points

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1 vote

Answer:

(x + 3)^(2) - 2

Explanation:

$h(x)= x^2 + 6x + 7 \\ = x^2 + 2.3.x + {3}^(2) - {3}^(2) + 7 \\ = (x + 3)^(2) - 9 + 7 \\ \purple { \bold{h(x)= (x + 3)^(2) - 2 }}$

Cort Ammon answered Apr 23, 2021

4.2k points

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