Question

$a{b}^2$ is a factor of $4a{b}^3-a{b}^2+a{b}^5$.

• A. True
• B. False

Answer 1

The correct option is A

True

We can write $4a{b}^3-a{b}^2+a{b}^5$ = $a{b}^2(4b-1+b^3)$

$a{b}^2$ completely divides $4a{b}^3-a{b}^2+a{b}^5$ and hence a factor of $4a{b}^3-a{b}^2+a{b}^5$.