6
QuizMultiple Choice

Factoring Polynomials: Double Grouping — Unit test

Question 6 • Common Core Algebra I B-IC

What is the polynomial 3y2 + (y + 7)2 – 15 after it has been fully simplified and written in standard form?

Answer
A
4y2 + 34
B
3y2 + y + 34
C
4y2 + 14y + 34
D
4y4 + 34

Explanation

First expand the square: (y + 7)² = y² + 14y + 49. Add 3y² and subtract 15: 3y² + y² + 14y + 49 − 15 = 4y² + 14y + 34. This is choice C, 4y² + 14y + 34.

AI-written and checked against the verified answer.

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