Question

factor the greatest common factor from the polynomial. 26x² + 22x select the correct choice below and fill in any answer boxes within your choice. a. 26x² + 22x = b. the polynomial is prime.

Explanation:

Step1: Find GCF of coefficients

The coefficients are 26 and 22. The GCF of 26 and 22 is 2.

Step2: Find GCF of variable parts

For the variable part, we have $x^{2}$ and $x$. The GCF of $x^{2}$ and $x$ is $x$.

Step3: Factor out GCF

Factor out 2x from $26x^{2}+22x$. We get $2x(13x + 11)$.

Answer:

A. $26x^{2}+22x=2x(13x + 11)$