Question

question
find the quotient of $6y^4 + 10y^3 - 8y^2$ divided by $2y$.

answer attempt 1 out of 2

Explanation:

Step1: Split the polynomial division

$\frac{6y^4 + 10y^3 - 8y^2}{2y} = \frac{6y^4}{2y} + \frac{10y^3}{2y} - \frac{8y^2}{2y}$

Step2: Simplify each term

$\frac{6y^4}{2y} = 3y^3$, $\frac{10y^3}{2y} = 5y^2$, $\frac{8y^2}{2y} = 4y$

Step3: Combine simplified terms

$3y^3 + 5y^2 - 4y$

Answer:

$3y^3 + 5y^2 - 4y$