Factor Polynomials (Order 3) - Sum of Cubes (No Hint), Coefficient N

Level 1

This topic explores the skill of factoring third-order polynomials using the sum of cubes formula. It involves recognizing the form of the polynomial and applying the sum/difference of cubes formula, \( a^3 \pm b^3 = (a \pm b)(a^2 \mp ab + b^2) \), to factorize each expression. The polynomials given are binomials with constant coefficients. Each problem presents a polynomial to factor and provides two potential factorizations (labeled as answer a and answer b). This activity tests the ability to correctly apply algebraic identities in polynomial factorization at a beginner level.

Work on practice problems directly here, or download the printable pdf worksheet to practice offline.

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Factor Polynomials (Order 3) - Sum of Cubes (No Hint), Coefficient N


Use the sum of cubes formula to factor this polynomial

64x3−12564x^3 - 125

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