14
lesson pretestMultiple Choice

Pretest

Question 14 • Algebra II

What is the first step when rewriting y is equal to 6 x squared plus 18 x plus 14 in the form y is equal to A times open paren x minus h close paren squared plus k ?

Answer
A
16 must be factored from 18 x plus 14
B
x must be factored from 6 x squared plus 18 x
C
6 must be factored from 6 x squared plus 14
D
6 must be factored from 6 x squared plus 18 x

Explanation

To complete the square, first factor the coefficient of x² out of the quadratic and linear terms, while leaving the constant outside: y = 6(x² + 3x) + 14. Thus, 6 must be factored from 6x² + 18x. The constant 14 is not included in that factoring step.

AI-written and checked against the verified answer.

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