1. 5.4 Do Now: Factor completely.
1.) x3 – 7x2 + 10x

2. 5.4: Factoring Polynomials
Algebra II Elements
5.4: Factoring Polynomials
HW tomorrow: p.357 (10-28 even)
Test : Thursday, 12/11

3. Factor by grouping
1.) x3 – 3x2 + 16x – 48
2.) y3 + 5y2 – 9y – 45

4. Factor by grouping
3.) x3 – 2x2 + 3x – 6
4.) x4 + x3 + 4x + 4

5. Do Now: Factor
2x8 + 10x5 + 12x2

6. 5.4: Factoring Polynomials
Algebra II Elements
5.4: Factoring Polynomials
HW: p.357 (10-28 even)
Test : Thursday, 12/11

7. Factoring Cubes Sum of Two Cubes a3 + b3 = (a + b)(a2 – a b + b2)
Difference of Two Cubes
a3 – b3 = (a – b)(a2 + a b + b2)

8. Factoring Cubes Sum of Two Cubes a3 + b3 = (a + b)(a2 – ab + b2)
Difference of Two Cubes
a3 – b3 = (a – b)(a2 + ab + b2)
Examples: Factor
1.) 8x3 + 64

9. Factor
1.) 64x3 – 27
2.) x4 – 36

10. Factor
3.) 125x3 – 1
4.) 54x3 – 128

11. 5.4: Factoring Polynomials
Algebra II Elements
5.4: Factoring Polynomials
HW: p.357 (32-50 even)
Test : Thursday, 12/11

12. Factoring GCF – always check for a GCF first.
Trinomial (3-terms): traditional 2 parenthesis factoring or change to grouping.
Four term polynomial: factor by grouping.
Difference of squares
Cannot factor sum of squares
Sum or Difference of cubes

13. Solve the equation.
1.) 3x5 + 15x = 18x3

14. 5.4: Do Now
For each polynomial expression in the table below, classify the expression as a difference of squares, difference of cubes, sum of cubes, or none of these by placing a check mark in all appropriate boxes. Then factor each polynomial completely in the space provided below the table.
a. x12 – y b. 8x3 + 24y c. x3 + 1
Expression
Difference of Squares
Difference of Cubes
Sum of Cubes
None of these
a. x12 – y6
b. 8x3 + 24y
c. x3 + 1

15. Solve the equation.
2.) 4x5 – 40x3 + 36x = 0

16. Solve the equation.
3.) -27x3 + 15x2 = -6x4