How to Factor Cubed Polynomials?

Factor out the greatest common factor first

Check for a common binomial factor

Use the sum of cubes formula: a^3 + b^3 = (a + b)(a^2 – ab + b^2)

Use the difference of cubes formula: a^3 – b^3 = (a – b)(a^2 + ab + b^2)

Rewrite each term as a perfect cube when possible

Group terms if the polynomial has four terms

Factor by grouping to find a common factor in pairs

Apply the quadratic formula or factoring methods to any remaining quadratic factor

Verify the factorization by multiplying the factors back together

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