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

Answer :

Answer:

[tex]=(4x+1)(x^2+6)[/tex]

Explanation:

Given the expression:

[tex]4x^3+24x+x^2+6[/tex]

First, group the expression into two as follows:

[tex]=(4x^3+24x)+(x^2+6)[/tex]

In the first two terms, factor out 4x.

In the last two terms, factor out 1.

[tex]=4x(x^2+6)+1(x^2+6)[/tex]

Thus, the factored form of the expression is:

[tex]=(4x+1)(x^2+6)[/tex]