Question

Use the grouping method to factor this polynomial completely 4x^3+8x^2+3x+6

Answer 1

Final answer is
`(4x^2+3)(x+2)`.

Explanation:

Given expression is
`4x^3+8x^2+3x+6`.

Now we need to factor that by the method of grouping.

So make two groups having first two terms and then last two term.

Factor each group then factor once more.

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

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

It can't be factored anymore so the final answer is
`(4x^2+3)(x+2)`.