Question

What is the factored form of this expression?
2x^3 + 5x^2 + 6x + 15
Write all factors in standard form.

Answer 1

Answer:

The factored form is (3+ x^2)(5 + 2x)

Step-by-step explanation:

I.I rewrited it as 15 + 5x^2 + 6x + 2x^2

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

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

II. Prove by

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

             = 15 + 6x + 5x^2 + 2x^3

That makes  = 2x^3 + 5x^2 + 6x + 15

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