Q6 of 64 Page 30

Factorize the following polynomials:

p(x) = x3 —x2—x + 1

p(x) = x3 – x2 – x + 1


= x2 (x – 1) – 1(x – 1)


= (x – 1)(x2 – 1)


= (x – 1)(x – 1)(x + 1)


Using the identity: (a2 – b2) = (a – b) (a + b)


= (x – 1)2 (x + 1)


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