Factorize:
x3 - 5x2 - x + 5
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Given,
⇒ x3 - 5x2 - x + 5
⇒ x2 (x - 5) - 1(x - 5)
⇒ (x2 - 1)(x - 5)
⇒ [(x)2 - (1)2] (x - 5)
⇒ (x + 1)(x - 1)(x - 5)
Hence, x3 - 5x2 - x + 5 = (x + 1)(x - 1)(x - 5).
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