6
QuizMultiple Choice

Factoring Trinomials: a > 1

Question 6 • Common Core Algebra I B-IC

The polynomial 6x2 + x − 15 has a factor of 2x − 3. What is the other factor?

Answer
A
3x − 5
B
3x + 5
C
4x − 5
D
4x + 5

Explanation

To find the other factor, multiply the given factor, 2x − 3, by each possible factor or factor the polynomial. The product (2x − 3)(3x + 5) is 6x² + 10x − 9x − 15, which simplifies to 6x² + x − 15. Therefore, the other factor is 3x + 5, choice B.

AI-written and checked against the verified answer.

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