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

78x⁴; –7x²

The division is as follows:

Here when -7x² is multiplied by -4x² we get -28x⁴ as the result.

Here the divisor 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 -28x⁴ becomes perfectly divisible by -7x² and hence the quotient is -4x² and remainder is 0.