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5.4 Do Now: Factor completely.

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Do Now: Factor completely. 1.) x3 7x2 + 10x 2.) y3 7y2 + 4y 28 Algebra II 5.4: Factoring Polynomials HW: worksheet Test 5.1-5.5: Wednesday, 3/26 Factor by ... – PowerPoint PPT presentation

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Title: 5.4 Do Now: Factor completely.


1
5.4 Do Now Factor completely.
  • 1.) x3 7x2 10x

2
Algebra II Elements
  • 5.4 Factoring Polynomials
  • HW tomorrow p.357 (10-28 even)
  • Test 5.1-5.4 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
Algebra II Elements
  • 5.4 Factoring Polynomials
  • HW p.357 (10-28 even)
  • Test 5.1-5.4 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
Algebra II Elements
  • 5.4 Factoring Polynomials
  • HW p.357 (32-50 even)
  • Test 5.1-5.4 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 y6 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
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