1. Warm up
Use synthetic division to divide (4x3 – 3x2 + 2x + 1)/ (x – 1) (x3 – x2 – 6)/(x + 2)

2. Dividing a polynomial by a monomial
(4y5 – 6y4 + 12y3 – 8y2) / (4y2)

3. Dividing a polynomial by a polynomial using long division
(6x2 + x – 2)/ (2x – 1)

4. Dividing a polynomial by a polynomial using synthetic division
(2t2 + 13t + 15)/ (t + 5)

5. Factor by grouping
x3 + x2 – x – 1

6. Factor by grouping
2x3 – 3x2 – 2x + 3

7. Sum and difference of two cubes

8. Factor the following
x y3 – 125

9. Factor the following
4x5 – 32x2 2x7 + 54x4

10. Factor theorem
The expression x-a is a linear factor of a polynomial if and only if the value a is a zero of the related function.
--How do you find out if a is a zero of the function?

11. Factor theorem Is -2 a zero of the following function?
Y = x3 + x2 – 2x

12. Factor theorem Is -5 a zero of the following function?
Y = x3 + 9x2 + 15x -25

13. Factor theorem Is 3 a zero of the following function?
If yes then find the other remaining zeros
Y = x3 - 9x2 + 27x – 27

14. Write a polynomial function in standard form with the given zeros
X = 5, 6, 7 X = -2, 0, 1

15. Write a polynomial function in standard form with the given zeros
X = -5, -5, 1 X = 3,3,3