Divide the first polynomial by the second. Explain the steps.

2b⁵; b²

The division is as follows:

Here when b² is multiplied by 2b³ we get 2b⁵ as the result.

In division the sign of the product [divisor × quotient] is always inverted to get the final result.

So the sign of product should always be opposite to that of the dividend.

So 2b⁵ becomes perfectly divisible by b² and hence the quotient is 2b³ and remainder is 0.