Precalculus Examples

Divide Using Synthetic Division (5x^3+6x+8)/(x+2)
Step 1
Place the numbers representing the divisor and the dividend into a division-like configuration.
  
Step 2
The first number in the dividend is put into the first position of the result area (below the horizontal line).
  
Step 3
Multiply the newest entry in the result by the divisor and place the result of under the next term in the dividend .
  
Step 4
Add the product of the multiplication and the number from the dividend and put the result in the next position on the result line.
  
Step 5
Multiply the newest entry in the result by the divisor and place the result of under the next term in the dividend .
  
Step 6
Add the product of the multiplication and the number from the dividend and put the result in the next position on the result line.
  
Step 7
Multiply the newest entry in the result by the divisor and place the result of under the next term in the dividend .
 
Step 8
Add the product of the multiplication and the number from the dividend and put the result in the next position on the result line.
 
Step 9
All numbers except the last become the coefficients of the quotient polynomial. The last value in the result line is the remainder.
Step 10
Simplify the quotient polynomial.