Question

factor the expression completely. \\(-24x - 6x^5\\)

Explanation:

Step1: Identify the GCF

Find the greatest common factor (GCF) of the terms \(-24x\) and \(-6x^5\). The GCF of the coefficients \(-24\) and \(-6\) is \(-6\), and the GCF of the variable parts \(x\) and \(x^5\) is \(x\). So the GCF is \(-6x\).

Step2: Factor out the GCF

Factor out \(-6x\) from each term:
\[

$$\begin{align*} -24x - 6x^5&=-6x\times4 - 6x\times x^4\\ &=-6x(4 + x^4) \end{align*}$$

\]

Answer:

\(-6x(4 + x^4)\)