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AssignmentMultiple Choice

Completing the Square

Question 1 • *Integrated Math II Full

What is the first step in writing f(x) = 3x2 + 6x – 8 in vertex form?

Answer
A
Factor out 3 from each term.
B
Form a perfect square trinomial by keeping the value of the function equivalent.
C
Write the trinomial as a binomial squared.
D
Factor out 3 from the first two terms.

Explanation

To complete the square, first group the quadratic and linear terms and factor their leading coefficient, 3, from both: f(x) = 3(x² + 2x) − 8. This is choice D, “Factor out 3 from the first two terms.”

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