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AssignmentMultiple Choice

Factoring Trinomials: a > 1

Question 1 • FL-1200700-Mathematics for College Algebra MIS

What is the factored form of 6x2 + 13x + 6?

Answer
A
(x + 4)(x + 9)
B
(2x + 3)(3x + 2)
C
(2x + 6)(3x + 1)
D
(6x + 1)(6x + 1)

Explanation

To factor 6x² + 13x + 6, multiply the first and last coefficients: 6 × 6 = 36. Two numbers that multiply to 36 and add to 13 are 9 and 4, so split the middle term: 6x² + 9x + 4x + 6. Factoring by grouping gives (3x + 2)(2x + 3), which is choice B, (2x + 3)(3x + 2).

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