 Site Navigation                            Algebra II Recipe: Factoring and Solving Polynomial Equations A. Factoring the Sum of Two Cubes
1. It always factors into: (a + b) (a2 - ab + b2)
2. The "a" and "b" represent terms.
• "a" is the cube root of the first term.
• "b" is the cube root of the xecond term.   Example:   27x3 + 8 B. Factoring the Difference of Two Cubes
1. It always factors into: (a - b) (a2 + ab + b2)
2. The "a" and "b" represent terms.
• "a" is the cube root of the first term.
• "b" is the cube root of the xecond term.   Example:   8x3 - 1 C. Solving Polynomial Equations by Factoring
1. Set all terms equal to zero.
2. Factor the polynomial completely.
3. Set each factor that has a variable equal to zero.
4. Solve each equation.
5. The values you get after solving are the solutions.   Examples:   2x5 + 24x = 14x3   64x³ - 27 = 0

G Redden

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