Question

Factor completely: 2x3 + 6x2 + 10x + 30

Answer 1

Answer:  The required factored form of the given expression is $2(x+3)(x^2+5).$

Step-by-step explanation:  We are given to factor the following cubic expression completely :

$E=2x^3+6x^2+10x+30~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)$

First we will take 2 common as it is multiplied to all the terms of the expression and then we will try to factorize the rest of the expression.

The factorization of expression (i) is as follows :

$E\\\\=2x^3+6x^2+10x+30\\\\=2(x^3+3x^2+5x+15)\\\\=2(x^2(x+3)+5(x+3))\\\\=2(x+3)(x^2+5).$

Thus, the required factored form of the given expression is $2(x+3)(x^2+5).$

Answer 2

The complete factor from:

2x3 + 6x2 + 10x + 30
2x(x+3) + 10(x+3)
(x+3)(2x+10)
2(x+5)(x+3)

hope this help