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Objective: I can factor a perfect cube and solve an equation with a perfect cube Warm Up 1.Determine if x – 2 is a factor of x³ - 6x² + 8 2.Use long division.

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Presentation on theme: "Objective: I can factor a perfect cube and solve an equation with a perfect cube Warm Up 1.Determine if x – 2 is a factor of x³ - 6x² + 8 2.Use long division."— Presentation transcript:

1 Objective: I can factor a perfect cube and solve an equation with a perfect cube Warm Up 1.Determine if x – 2 is a factor of x³ - 6x² + 8 2.Use long division to solve (4x³ + 9x² + 22x + 5) ÷ (4x + 1)

2 Objective: I can factor a perfect cube and solve an equation with a perfect cube Name your perfect cube numbers through 10 Factoring “perfect” cubic polynomials always follows a pattern: a³ + b³ = (a + b)(a² - ab + b²) a³ - b³ = (a - b)(a² + ab + b²) *Hint to remember the formula (Cube root of each) (SOPS)

3 Objective: I can factor a perfect cube and solve an equation with a perfect cube Examples: X³ - 8 = 27x³ + 1= 216x³ + 125=

4 Objective: I can factor a perfect cube and solve an equation with a perfect cube Solve each equation. Ex: x³ - 27 = 0

5 Objective: I can factor a perfect cube and solve an equation with a perfect cube Ex: 2x³ = -2

6 Objective: I can factor higher level polynomials and find its roots Factor these equations like “quadratic” equations Ex: x⁴ - 8x² + 7Ex: x⁴ - 1

7 Objective: I can factor higher level polynomials and find its roots Solve each equation. Ex: x⁴ - 8x² + 16 = 0

8 Objective: I can factor higher level polynomials and find its roots Ex: -2x⁴ + 46x² = -100


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