SOLVED PROBLEMS ON FACTORING POLYNOMIALS

Problems 1-3 : Factor the given polynomial.

Problem 1 :

x³ - 1

Solution :

Problem 2 :

2x⁴ - 5x² - 12

Solution :

Problem 3 :

3x⁵ + 21x⁴ - 3x³ - 21x²

Solution :

Problems 4-7 : If P = 5 and Q = 13, factor the given polynomial.

Problem 4 :

x² + Px + Qx + PQ

Solution :

Problem 5 :

x³ - Px² + 2x² - 4x + 4P - 8

Solution :

Problem 6 :

x³ - 4x² - Px² - 5x + 4Px + 5P

Solution :

Problem 7 :

x³ + P³

Solution :

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