Question

Factor completely 2x3 + 8x2 + 3x + 12.

(2x2 + 3)(x + 4)
(2x2 + 3)(x − 4)
(2x2 − 3)(x + 4)
(2x2 − 3)(x − 4)

Answer 1

A) (2x^2 + 3)(x + 4)

Person above is correct, just wanted to make the answer more clear.

Answer 2

`(2x^2+3)(x+4)`.

Explanation:

`2x^3+8x^2+3x+12`

We need to find the factors of given equation;

Solution:

On Solving the above equation we get;

Now First we will take common factor from first 2 terms which is
`2x^2` we get;

`2x^2(x+4) + 3x+12`

Now we will take the common factor from the last 2 terms which is 3 we get;

`2x^2(x+4) + 3(x+4)`

Here we get 2 terms in which
`(x+4)` is common factor.

`(x+4)(2x^2+3)`

Hence After factorizing the given equation we get
`(2x^2+3)(x+4)`.