Factor Polynomials (Order 3) - Sum of Cubes (True/False), Coefficient 1

Level 1

This math topic focuses on factoring polynomials of third order (cubics), specifically recognizing and applying the sum of cubes formula. Each problem presents an algebraic expression and asks the student to determine whether the provided factoring into a linear and a quadratic term is correct, offering a true/false answer format. The skills practiced include identifying correct factorization forms and understanding the relationship between the coefficients and terms in cubic expressions based on the sum of cubes identity.

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 1


Is this factoring step correct?

n3−125=(n−5)(n2+5n−25)n^3 - 125\\=(n - 5)(n^2 + 5n - 25)

?