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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