To factor the expression \(-24x - 6x^5\), follow these steps:
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Look for a common factor: Both terms, \(-24x\) and \(-6x^5\), have a common factor of \(-6x\).
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Factor out the common factor: \[ -24x - 6x^5 = -6x(4 + x^4) \]
So, the completely factored form of the expression \(-24x - 6x^5\) is:
\[ -6x(4 + x^4) \]