### Chapter 10 - Algebra Coach Exercises

**Algebra Coach Exercise on
factoring polynomials using the deflation method.**

Factor each of the following polynomials. To do this
drag-and-drop each of them into the
Algebra Coach and click the Factor button.
- x^3 - 2 x^2 - 5 x + 6
- 2 x^3 - 18 x + 16
- x^3 - 5 x^2 + 7 x - 3
- x^3 - 9 x^2 + 26 x - 24

- 16 x^6 - 13 x - 3
- x^3 + 9 x^2 + 26 x + 24
- 3 x^3 - 7 x^2 + 4
- 16 x^4 - 32 x^3 - 13 x^2 + 29 x - 6

**Algebra Coach Exercise on polynomial equations.**

Solve each of the following polynomial equations for *x*.
To do this drag-and-drop each of them into the
Algebra Coach and click the AutoSolve button.
- x^3 - 2 x^2 - 5 x + 6 = 0
- 2 x^3 - 18 x + 16 = 0
- x^3 - 5 x^2 + 7 x - 3 = 0
- x^3 - 9 x^2 + 26 x - 24 = 0

- 16 x^6 - 13 x - 3 = 0
- x^3 + 9 x^2 + 26 x + 24 = 0
- 3 x^3 - 7 x^2 + 4 = 0
- 16 x^4 - 32 x^3 - 13 x^2 + 29 x - 6 = 0