Question

question
factor the expression completely.
-10x^5 - 5x
answer attempt 1 out of 2
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Explanation:

Step1: Identify the GCF

Find the greatest common factor (GCF) of \(-10x^5\) and \(-5x\). The GCF of the coefficients \(-10\) and \(-5\) is \(-5\), and the GCF of the variables \(x^5\) and \(x\) is \(x\). So the GCF is \(-5x\).

Step2: Factor out the GCF

Divide each term by \(-5x\): \(\frac{-10x^5}{-5x} = 2x^4\) and \(\frac{-5x}{-5x} = 1\). So factoring out \(-5x\) gives \(-5x(2x^4 + 1)\).

Answer:

\(-5x(2x^4 + 1)\)