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

To factor 6x² + 13x + 6, find two numbers whose product is 6 × 6 = 36 and whose sum is 13: 9 and 4. Split the middle term: 6x² + 9x + 4x + 6 = 3x(2x + 3) + 2(2x + 3). Factoring out the common binomial gives (2x + 3)(3x + 2), which is choice B.

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