1. Products and Factors of Polynomials (part 2 of 2) Section 440 beginning on page 442

2. Dividing Polynomials If we have a polynomial expression set equal to the factored version of the expression, we can also write that equation as two ore more division equations.

3. Dividing Polynomials: Long Division Divisor Quotient Dividend Divide the first term of the dividend by the first term of the divisor. Multiply that value by the divisor. And then subtract. Repeat those steps using the difference as the new dividend. Remainder

4. Dividing Polynomials: Long Division When there is a non zero remainder, you add an additional term where the numerator is the remainder, and the denominator is the divisor.

5. Dividing Polynomials: Synthetic Division For synthetic division you do not write the variables. Continued on next slide….

6. Dividing Polynomials: Synthetic Division Step 2: Multiply the r value (2) by the number below the line, and write the product below the next coefficient. Step 3: Write the sum of that column (3 and 2) below the line. Multiply the r value (2) by the number below the line, and write the product below the next coefficient. Step 4: Write the sum of that column (-4 and 10) below the line. Multiply the r value (2) by the number below the line, and write the product below the next coefficient.

7. Synthetic Division Practice

8. The Remainder Theorem