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

–30n²; 3n

The division is as follows:

Here when 3n is multiplied by -10n we get -30n² as the result.

Here the dividend is negative so the quotient has to be negative to get remainder zero.

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 -30n² becomes perfectly divisible by 3n and hence the quotient is -10n and remainder is 0.