Question

factor out the greatest common factor. if the greatest common factor is 1, just retype the polynomial. 22x^5 - 11x^4

Explanation:

Step1: Identify GCF of coefficients and variables

The coefficients are 22 and 11. The GCF of 22 and 11 is 11. For the variables, \(x^5\) and \(x^4\) have the GCF \(x^4\) (since we take the lowest power of \(x\)). So the GCF of the two terms is \(11x^4\).

Step2: Factor out the GCF

Divide each term by \(11x^4\):
\(22x^5 \div 11x^4 = 2x\)
\(-11x^4 \div 11x^4 = -1\)
So, \(22x^5 - 11x^4 = 11x^4(2x - 1)\)

Answer:

\(11x^4(2x - 1)\)