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.
moreUse the sum of cubes formula to factor this polynomial
Earned ?