Question

Factor 4x³ + 24x + x² + 6 by grouping.

Answer 1

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

Explanation:

Given the expression:

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

First, group the expression into two as follows:

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

In the first two terms, factor out 4x.

In the last two terms, factor out 1.

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

Thus, the factored form of the expression is:

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