5
QuizMultiple Choice

Factoring Polynomials Completely

Question 5 • Algebra III A

Which statement about 6x2 + 7x – 10 is true?

Answer
A
One of the factors is (x + 2).
B
One of the factors is (3x – 2).
C
One of the factors is (2x + 5).
D
One of the factors is (x – 5).

Explanation

To factor 6x² + 7x − 10, find two numbers whose product is 6 × (−10) = −60 and whose sum is 7: 12 and −5. Splitting the middle term gives 6x² + 12x − 5x − 10 = (x + 2)(6x − 5), so one factor is (x + 2).

AI-written and checked against the verified answer.

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