5.4 Do Now: Factor completely.

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5.4 Do Now Factor completely.

• 1.) x3 7x2 10x

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Algebra II Elements

• 5.4 Factoring Polynomials
• HW tomorrow p.357 (10-28 even)
• Test 5.1-5.4 Thursday, 12/11

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Factor by grouping

• 1.) x3 3x2 16x 48
• 2.) y3 5y2 9y 45

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Factor by grouping

• 3.) x3 2x2 3x 6
• 4.) x4 x3 4x 4

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Do Now Factor

• 2x8 10x5 12x2

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Algebra II Elements

• 5.4 Factoring Polynomials
• HW p.357 (10-28 even)
• Test 5.1-5.4 Thursday, 12/11

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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)

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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

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Factor

• 1.) 64x3 27
• 2.) x4 36

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Factor

• 3.) 125x3 1
• 4.) 54x3 128

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Algebra II Elements

• 5.4 Factoring Polynomials
• HW p.357 (32-50 even)
• Test 5.1-5.4 Thursday, 12/11

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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

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Solve the equation.

• 1.) 3x5 15x 18x3

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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        
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Solve the equation.

• 2.) 4x5 40x3 36x 0

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Solve the equation.

• 3.) -27x3 15x2 -6x4