Question

What polynomial when divided by 2y^5 yields 4y^2-2y+9 as a quotient?

Answer 1

$w(x):2y^5=4y^2-2y+9\Rightarrow w(x)=2y^5(4y^2-2y+9)\\\\w(x)=2y^5\cdot4y^2-2y^5\cdot2y+2y^5\cdot9\\\\w(x)=8y^7-4y^6+18y^5$