Question

factor completely.\
$7f^3 - 14f^2 - 4f + 8$

Explanation:

Step1: Group the terms

Group the first two terms and the last two terms: $(7f^3 - 14f^2) + (-4f + 8)$

Step2: Factor out GCF from each group

Factor out $7f^2$ from the first group and $-4$ from the second group: $7f^2(f - 2) - 4(f - 2)$

Step3: Factor out the common binomial factor

Factor out $(f - 2)$: $(f - 2)(7f^2 - 4)$

Answer:

$(f - 2)(7f^2 - 4)$