Question

multiple choice 1 point factoring by grouping: 4x³ + 10x² + 6x + 15 options: (3x + 3)(2x² + 5) (2x² + 3)(2x + 5) (2x + 5)(2x² + 3) (4x + 3)(x² + 5)

Explanation:

Step1: Group the polynomial terms

$4x^3 + 10x^2 + 6x + 15 = (4x^3 + 10x^2) + (6x + 15)$

Step2: Factor out GCF from each group

$= 2x^2(2x + 5) + 3(2x + 5)$

Step3: Factor out common binomial

$= (2x + 5)(2x^2 + 3)$

Answer:

(2x + 5) (x² + 3) (Note: This matches the second option, written as $(2x + 5)(x^2 + 3)$)