Factor Polynomials (Order 3) - Sum of Cubes (True/False), Coefficient N

Level 1

This math topic focuses on factoring third-order polynomials, specifically testing the correctness of sum of cubes factoring with varying coefficients. The problems present polynomial expressions and their purported factors, asking students to evaluate whether the factoring is accurate. A typical problem includes a polynomial expressed as a sum or difference of cubes and presents a factored form. Students have to choose between "Yes" or "No" to indicate whether the provided factoring step is correct. This exercise is designed to enhance polynomial factoring skills and reinforce algebraic fundamentals in dealing with cubic equations.

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 (True/False), Coefficient N


Is this factoring step correct?

27y3−125=(3y−5)(9y2+15y−25)27y^3 - 125\\=(3y - 5)(9y^2 + 15y - 25)

?