2. FACTOR to SOLVE 1. X 2 – 4x - 60 2. X 2 – 17x + 52 (x-10)(x + 6) x = 10, -6 (x-4)(x - 13) x = 4,13

3. Synthetic Division 3. (x 3 - 5x 2 - 2x + 24) (x+2) ┘ -21 -5 -2 24 1 -2 -7 14 12 -24 0 x 2 - 7x + 12

4. 4. Find the rational zeros to graph: f(x) = x 3 – 8x 2 – 23x + 30 1| 1 -8 -23 30 1 -7 -30 1 -7 -30 0 x 2 – 7x - 30 (x-10)(x+3)(x-1) zeros = 10, -3, 1 at 10 graph crosses at -3 graph crosses at 1 graph crosses

5. 5. Find the rational zeros: f(x) = x 3 – 9x 2 + 24x - 20 2| 1 -9 24 -20 2 -14 20 1 -7 10 0 x 2 – 7x + 10 (x-2)(x-5)(x-2 ) zeros = 2,5 (x-2) 2 (x-5) at 2 graph touches at 5 graph crosses

6. 6. Find the rational zeros: f(x) = x 3 – x 2 - 17x - 15 -1| 1 -1 -17 -15 -1 2 15 1 -2 -15 0 x 2 – 2x -15 (x+1)(x-5)(x+3 ) zeros = -1,5-3 at -1 graph crosses at 5 graph crosses at -3 graph crosses

7. HOMEWORK 1.x 3 - x 2 - 8x + 12 2. x 3 - 2x 2 - 13x -10 3. x 3 - 6x 2 + 12x - 8