Question

factor by grouping.
$4x^3 - 5x^2 + 24x - 30$

Explanation:

Step1: Group terms into pairs

$(4x^3 - 5x^2) + (24x - 30)$

Step2: Factor out GCF from each pair

$x^2(4x - 5) + 6(4x - 5)$

Step3: Factor out common binomial

$(4x - 5)(x^2 + 6)$

Answer:

$(4x - 5)(x^2 + 6)$