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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.
ExamplesExample:
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.
ExamplesExample:
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.
ExamplesExamples:
2x5 + 24x = 14x3
64x³ - 27 = 0



G Redden

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