6.3 Dividing Polynomials 1. When dividing by a monomial: Divide each term by the denominator separately 2.

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Presentation transcript:

6.3 Dividing Polynomials 1. When dividing by a monomial: Divide each term by the denominator separately 2.

Dividing by a polynomial Long Division: rewrite it as a long division problem 1. 2.

Dividing by a polynomial Synthetic Division –Step 1: Write the terms of the dividend so that the degrees of the terms are in descending order. Then write just the coefficients. –Step 2: Write the constant r of the divisor x – r to the left. Bring the first coefficient down. –Step 3: Multiply the first coefficient by r. Write the product under the second coefficient. Then add the product and the second coefficient. –Step 4: Multiply the sum by r. Write the product under the next coefficient and add. Repeat until finished. –Step 5: rewrite the coefficient answers with appropriate x values

ex 1: Use synthetic division to find (x 3 – 4x 2 + 6x – 4) ÷ (x – 2). Step 1Steps 2-4 Step 5 x 3 – 4x 2 + 6x – 4   x 2 – 2x + 2

Use synthetic division to solve each problem 2. 3.