Question

show the polynomial $-15y^{4}+12y^{2}-9y$ as the product of polynomials.
$-3$ $y$($5$ $yLXB04$ $yLXB13$ )

Explanation:

Step1: Identify GCF of terms

The greatest common factor (GCF) of $-15y^4$, $12y^2$, and $-9y$ is $-3y$.

Step2: Divide each term by GCF

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

Step3: Match to given form

Compare the quotient polynomial $5y^3 - 4y + 3$ to the provided structure to find the missing exponent.

Answer:

The missing exponent in the blank is $\boldsymbol{1}$ (so the fully factored form is $-3y(5y^3 - 4y^1 + 3)$)