3 years ago

F(x)=x^2+12x+7 f(x)=(x+_)^2+_ Rewrite the function by completing the square

Mathematics

1 answer:

Veseljchak [2.6K]3 years ago

6 0

Answer:

f(x) = (x + 6)² - 29

Step-by-step explanation:

Given

f(x) = x² + 12x + 7

To complete the square

add/subtract ( half the coefficient of the x- term )² to x² + 12x

x² + 2(6)x + 36 - 36 + 7

= (x + 6)² - 29, thus

f(x) = (x + 6)² - 29

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