Question

16
enter the correct answer in the box.
what is the factored form of this expression?
2x³ + 5x² + 6x + 15
write all factors in standard form.

Explanation:

Step1: Group terms

Group the first two terms and the last two terms: $(2x^3 + 5x^2) + (6x + 15)$

Step2: Factor out GCF from each group

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

Step3: Factor out common binomial factor

Factor out $(2x + 5)$: $(x^2 + 3)(2x + 5)$

Answer:

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