Question

factor completely: 6x² + 5x - 6 options: 6(x + 1)(x - 6), (3x - 2)(2x + 3), (6x + 9)(x - 1), (2x - 3)(3x + 2)

Explanation:

Step1: Split middle term of trinomial

$6x^2 + 9x - 4x - 6$

Step2: Group terms for factoring

$(6x^2 + 9x) + (-4x - 6)$

Step3: Factor out GCF from each group

$3x(2x + 3) - 2(2x + 3)$

Step4: Factor out common binomial

$(3x - 2)(2x + 3)$

Answer:

$(3x - 2)(2x + 3)$