# Algebra Examples

Divide Using Long Polynomial Division
Step 1
Set up the polynomials to be divided. If there is not a term for every exponent, insert one with a value of .
 + + +
Step 2
Divide the highest order term in the dividend by the highest order term in divisor .
 + + +
Step 3
Multiply the new quotient term by the divisor.
 + + + + +
Step 4
The expression needs to be subtracted from the dividend, so change all the signs in
 + + + - -
Step 5
After changing the signs, add the last dividend from the multiplied polynomial to find the new dividend.
 + + + - - +
Step 6
Pull the next terms from the original dividend down into the current dividend.
 + + + - - + +
Step 7
Divide the highest order term in the dividend by the highest order term in divisor .
 + + + + - - + +
Step 8
Multiply the new quotient term by the divisor.
 + + + + - - + + + +
Step 9
The expression needs to be subtracted from the dividend, so change all the signs in
 + + + + - - + + - -
Step 10
After changing the signs, add the last dividend from the multiplied polynomial to find the new dividend.
 + + + + - - + + - - +
Step 11
The final answer is the quotient plus the remainder over the divisor.