Factor Polynomials (Order 4) - As Quadratic (With Hint), Coefficient N

Level 1

This math topic focuses on the skill of factoring higher order polynomials, specifically quartic (fourth-order) polynomials. The problems guide students to factor these polynomials by transforming them into quadratic forms using provided hints. Each question presents a polynomial and a suggested substitution, hinting at a transformation into a simpler quadratic equation for easier factoring, with multiple-choice answers provided for each problem. This approach educates on identifying and applying appropriate algebraic transformations and factoring techniques to solve quadratic and higher-order polynomial equations.

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

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Factor Polynomials (Order 4) - As Quadratic (With Hint), Coefficient N


Factor this higher order polynomial

16w4−32w2+12hint:p2−8p+12p=4w216w^4 - 32w^2 + 12\\ \\ \text{hint:}\\p^2 - 8p + 12\\p=4w^2

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