Warm-up Divide. 1. (x 6 – x 5 + x 4 ) ÷ x 2 2. (9c 4 + 6c 3 – c 2 ) ÷ 3c 2 3. (x 2 – 5x + 6) ÷ (x – 2) 4. (2x 2 + 3x – 11) ÷ (x – 3)

1. (x 6 – x 5 + x 4 ) ÷ x 2 x4x4 – x 3 Warm-up + x 2

2. (9c 4 + 6c 3 – c 2 ) ÷ 3c 2 3c 2 + 2c Warm-up

3. (x 2 – 5x + 6) ÷ (x – 2) Warm-up x x2x2 -2x -3x+ 6 – 3 -3x+ 6 0 x – 3

4. (2x 2 + 3x – 11) ÷ (x – 3) Warm-up 2x 2x 2 -6x 9x– x x + 9

Section 11.4a Adding and Subtracting Rational Expressions (NLD) Standards: 13.0 Objective: I will add and subtract rational expressions with unlike denominators.

Adding Fractions: When the denominators are the same, add the numerators together.

Example 1: Add. 3a− b

Example 2: Add. 6x+ y

Example 3: Add. 7m+ 4

Example 4: Add. v+ 7

Example 5: Add. 4x+ 8

Subtracting Fractions: When the denominators are the same, subtract the numerators.

Example 1: Subtract. 3x− 7y

Example 2: Subtract. 5y

Example 3: Subtract. 1

Example 4: Subtract. -2x+ 5

Example 5: Subtract. -b− 2