Question

1. $6x^3 - 14x^2 - 15x + 35$

Explanation:

Step1: Group the terms

Group the first two terms and the last two terms: $(6x^3 - 14x^2) + (-15x + 35)$

Step2: Factor out the GCF from each group

Factor out $2x^2$ from the first group and $-5$ from the second group: $2x^2(3x - 7) - 5(3x - 7)$

Step3: Factor out the common binomial factor

Factor out $(3x - 7)$: $(3x - 7)(2x^2 - 5)$

Answer:

$(3x - 7)(2x^2 - 5)$