The polynomial function is .

The factor is .

Rewrite the expression in long division form .

Divide the first term of the dividend by the first term of the divisor .

So, the first term of the quotient is .

Multiply by and subtract.

Divide the first term of the last row by first term of the divisor .

So,the second term of the quotient is .

Multiply by and subtract.

Divide the first term of the last row by first term of the divisor .

So, the third term of the quotient is .

Multiply by and subtract.

The remainder is the last entry in the last row.

Therefore, the remainder .

The number along the bottom row are the coefficients of the quotient.

From this division the polynomial function can be written as

.

Consider the quotient .

.