Dividing Polynomials

Synthetic division is a shortcut to divide polynomials. *This method can only be used if the divisor is in the form (x-a)!

Step 1: Write out the coefficients of the dividend. (Use 0 as a coefficient for missing terms)

Step 2: Put the value of 'a' of the divisor in the upper left hand corner and box it.

Step 3: Under a horizontal bar, bring down the first coefficient.

Step 4: Multiply the first coefficient by the division. Write the product under the next coefficient, Add the numbers in the new column.

Step 5: Repeat step 4 until all the columns are done. Box the last sum.

Step 6: The boxed number becomes the remainder, and the other sum become the coefficients of the terms in the quotient polynomial. (ordered from decreasing degree)