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QUESTION IMAGE

factor $3y^3 - 9y^2$. the factored polynomial is \\boxed{}.

Question

factor $3y^3 - 9y^2$. the factored polynomial is \boxed{}.

Explanation:

Step1: Identify the GCF

Find the greatest common factor (GCF) of \(3y^3\) and \(9y^2\). The GCF of 3 and 9 is 3, and the GCF of \(y^3\) and \(y^2\) is \(y^2\). So the GCF is \(3y^2\).

Step2: Factor out the GCF

Factor out \(3y^2\) from each term: \(3y^3 - 9y^2 = 3y^2(y - 3)\).

Answer:

\(3y^2(y - 3)\)