6
QuizMultiple Choice

Factoring Trinomials: a > 1

Question 6 • FL-1200700-Mathematics for College Algebra MIS

What are the factors of 6x2+37x−60?

Answer
A
3x−4 and 2x+15
B
3x+4 and 2x−15
C
2(x−2) and 3(x+5)
D
2(x+2) and 3(x−5)

Explanation

To factor 6x² + 37x − 60, multiply 6 by −60 to get −360. Two numbers with product −360 and sum 37 are 45 and −8, so split the middle term: 6x² + 45x − 8x − 60. Grouping gives 3x(2x + 15) − 4(2x + 15) = (3x − 4)(2x + 15), which matches choice A.

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