The dividend is .
The divisor is .
Replace with in the missing terms
and
.
The dividend can be written as .
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 dividend by the first term of the divisor : .
So, the second term of the quotient is .
Multiply by
and subtract.
Divide the first term of the dividend by the first term of the divisor : .
So, the third term of the quotient is .
Multiply by
and subtract.
Divide the first term of the dividend by the first term of the divisor : .
So, the fourth term of the quotient is .
Multiply by
.
Divide the first term of the dividend by the first term of the divisor : .
So, the fourth term of the quotient is .
Multiply by
.
The remainder is the last entry in the last row.
\Therefore, the remainder.
From this division the polynomial function can be written as .
.