Question

Factor 4x3 + 24x + x2 + 6 by grouping. A) (4x + 1)(x2 - 6) B) (2x + 1)(x2 - 6) C) (4x + 1)(x2 + 6) D) (4x - 1)(x2 + 6)

Answer 1

The given expression is

`4x^3+24x+x^2+6`

Let's group them as follows

`(4x^3+x^2)+(24x+6)`

In the first group, we can factor out the greatest common factor x2. In the second group, we can factor out 6.

`x^2(4x+1)+6(4x+1)`

As you can observe, we have a common factor, let's factor it out

`(4x+1)(x^2+6)`

Hence, the right answer is C.