Divide (z^2-27)/(z-3)

Math
z2-27z-3
Set up the polynomials to be divided. If there is not a term for every exponent, insert one with a value of 0.
z3z2+0z27
Divide the highest order term in the dividend z2 by the highest order term in divisor z.
z
z3z2+0z27
Multiply the new quotient term by the divisor.
z
z3z2+0z27
+z23z
The expression needs to be subtracted from the dividend, so change all the signs in z2-3z
z
z3z2+0z27
z2+3z
After changing the signs, add the last dividend from the multiplied polynomial to find the new dividend.
z
z3z2+0z27
z2+3z
+3z
Pull the next terms from the original dividend down into the current dividend.
z
z3z2+0z27
z2+3z
+3z27
Divide the highest order term in the dividend 3z by the highest order term in divisor z.
z+3
z3z2+0z27
z2+3z
+3z27
Multiply the new quotient term by the divisor.
z+3
z3z2+0z27
z2+3z
+3z27
+3z9
The expression needs to be subtracted from the dividend, so change all the signs in 3z-9
z+3
z3z2+0z27
z2+3z
+3z27
3z+9
After changing the signs, add the last dividend from the multiplied polynomial to find the new dividend.
z+3
z3z2+0z27
z2+3z
+3z27
3z+9
18
The final answer is the quotient plus the remainder over the divisor.
z+3-18z-3
Divide (z^2-27)/(z-3)

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