Question

Use the grouping method to factor this polynomial completely.
4x3 + 8x2 + 3x+6

Answer 1

Answer: (x + 2)(4x^2 + 3)

Explanation:

4x3 + 8x2 + 3x+6 becomes 4x^2(x + 2) + 3(x + 2) and can also be written as (x + 2)(4x^2 + 3).

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Now you know the answer as well as the formula. Hope this helps, have a BLESSED AND WONDERFUL DAY!

- Cutiepatutie ☺❀❤

Answer 2

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

Explanation:

The first two terms factor as follows: 4x^2(x + 2).

The last two factor as follows: 3(x + 2).

Thus, (x + 2) is a factor of 4x3 + 8x2 + 3x+6:

4x^2(x + 2) + 3(x + 2), or:

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

Note that 4x^2 + 3 can be factored further, but doing so yields two complex roots.