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show the polynomial -15y^4 + 12y^2 - 9y as the product of polynomials. …

Question

show the polynomial -15y^4 + 12y^2 - 9y as the product of polynomials. \\(\square y(\square y^\square - \square y^\square + \square)\\)

Explanation:

Step1: Identify greatest common factor

The GCF of $-15y^4$, $12y^2$, $-9y$ is $-3y$.

Step2: Factor out the GCF

Divide each term by $-3y$:
$\frac{-15y^4}{-3y} = 5y^3$, $\frac{12y^2}{-3y} = -4y$, $\frac{-9y}{-3y} = 3$

Answer:

$-3y(5y^3 - 4y + 3)$