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question factor the expression completely. 70x⁵ + 100x

Question

question
factor the expression completely.
70x⁵ + 100x

Explanation:

Step1: Find the GCF of coefficients and variables

The GCF of 70 and 100 is 10. The GCF of \(x^5\) and \(x\) is \(x\). So the GCF of the two terms is \(10x\).

Step2: Factor out the GCF

Divide each term by \(10x\): \(\frac{70x^5}{10x}=7x^4\) and \(\frac{100x}{10x} = 10\). So, \(70x^5 + 100x=10x(7x^4 + 10)\)

Answer:

\(10x(7x^4 + 10)\)