Factor -3xy^2+9x

Problem

−3*x*y2+9*x

Solution

1. Identify the greatest common factor (GCF) of the terms −3*x*y2 and 9*x

2. Determine the numerical GCF, which is 3 Since the leading term is negative, it is often helpful to factor out −3

3. Determine the variable GCF, which is x as it appears in both terms.

4. Factor out the GCF −3*x from each term by dividing each part of the expression by −3*x

5. Write the result as the product of the GCF and the remaining terms inside parentheses.

Final Answer

−3*x*y2+9*x=−3*x*(y2−3)

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