Question

Factor completely 2x3 + 10x2 + 4x + 20.

2(x3 + 5x2 + 2x + 10)

2[(x + 5)(x2 + 2)]

(2x + 10)(x2 + 2)

(x + 5)(2x2 + 4)

Answer 1

2x^3 + 10x^2 + 4x + 20
= 2(x^3 + 5x^2 + 2x + 10)
= 2[x^2(x + 5) + 2(x + 5)]
= 2[(x+5)(x^2 + 2)]

answer
2[(x + 5)(x^2 + 2)]

Answer 2

Explanation:

Alright, lets get started.

The given expression is :

`2x^3+10x^2+4x+20`

taking 2 common factor

`2(x^3+5x^2+2x+10)`

`2(x^3+2x+5x^2+10)`

`2[(x+5)(x^2+2)]`

So, the correct answer is option B : answer

Hope it will help :)