Question

factor out the greatest common monomial factor from the polynomial. (if the polynomial has no common monomial factor, enter ncf.)
$2x^4 + 6x^3$

Explanation:

Step1: Find GCF of coefficients

The coefficients are 2 and 6. The GCF of 2 and 6 is 2.

Step2: Find GCF of variables

For \(x^4\) and \(x^3\), the GCF is \(x^3\) (since we take the lowest power of \(x\)).

Step3: Factor out the GCF

Multiply the GCF of coefficients and variables: \(2x^3\). Then divide each term by \(2x^3\):
\(2x^4\div2x^3 = x\) and \(6x^3\div2x^3 = 3\). So the factored form is \(2x^3(x + 3)\).

Answer:

\(2x^3(x + 3)\)