Question

question
factor the expression completely.
$20x^4 + 45x^5$

Explanation:

Step1: Find the GCF of coefficients and variables

The GCF of 20 and 45 is 5. For the variables, the GCF of \(x^4\) and \(x^5\) is \(x^4\). So the GCF of the two terms is \(5x^4\).

Step2: Factor out the GCF

Divide each term by \(5x^4\): \(\frac{20x^4}{5x^4} = 4\) and \(\frac{45x^5}{5x^4}=9x\). So we get \(5x^4(4 + 9x)\).

Answer:

\(5x^4(4 + 9x)\)