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

We factored the expression

z2+9z z^2+9z into its basic terms:

zz+9z z\cdot z+9\cdot z

What common factor can be found in these terms?

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1

Understand the problem

We factored the expression

z2+9z z^2+9z into its basic terms:

zz+9z z\cdot z+9\cdot z

What common factor can be found in these terms?

2

Step-by-step solution

To factor the expression z2+9z z^2+9z , we write each term as a product of factors:

z2=zz z^2=z\cdot \orange z and 9z=9z 9z = 9 \cdot \orange z .

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

3

Final Answer

z z

Practice Quiz

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Break down the expression into basic terms:

\( 4x^2 + 6x \)

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