1. Review 6-4 & 6-5
FACTORING
LONG DIVISION
SYNTHETIC DIVISION

2. FACTOR PERFECT CUBE 1. X3 - 512 X3 – 83 = (x-8)(x2 + 8x + 64)

3. FACTOR BY GROUPING 3. X3 – 3x2 – 5x + 15
X2 (x-3) – 5(x-3) (x2 – 5)(x-3)
4. 3X3 – 6x2 + x2 – 2x
3X2 (x-2) + x(x - 2) (3x2 +x)(x-2) x(3x+1)(x-2)

4. USE LONG DIVISION - 5. (x3 - 3x2 + x – 8) (x-1) x-1 √x3 - 3x2 + x – 8-9
9 x-1
x2 - 2x – 1 -

5. ┘ Synthetic Division 6. (x3 - 5x2 - 2x + 24) (x+2) x2 - 7x + 12 -2 ┘ -2 14
-24 1 -7 12
x2 - 7x + 12

6. 7. If the dimensions of a rectangular door are 5ft by 10 ft
7. If the dimensions of a rectangular door are 5ft by 10 ft. Write a quadratic equation for the area.
(x-5)(x-10)
X2 – 15x + 50 = 0

7. 9. Find the rational zeros: f(x) = x3 – 8x2 – 23x + 301|
x2 – 7x - 30
(x-10)(x+3)
x-10 = 0 x + 3 = 0 x = x = -3
X = 1, -3, 10

8. Width is x and length is x+6
10. If the perimeter of a rectangle is 52 in and the length is 6 inches longer than the width. Find the area of the rectangle.
Width is x and length is x+6
2x + 2(x+6) = 52 4x + 12 = 52 x = 10
A =(10)(16) = 160 in2

9. HOMEWORK
Text book page 356
15-17
29-32