Find the Common Factor in z²+9z: Basic Term Analysis

Question

We factored the expression

$z^2+9z$ into its basic terms:

$z\cdot z+9\cdot z$

What common factor can be found in these terms?

To factor the expression $z^2+9z$ , we write each term as a product of factors:

$z^2=z\cdot \orange z$ and $9z = 9 \cdot \orange z$ .

We observe that both terms have a common factor of $z$ , so the greatest factor is $z$ .

$z$