Answer :
Given,
x3 – 10x2 – x + 10,put x = 1
then, 1 – 10 – 1 + 10 = 0
since, this equation is divisible by (x – 1).
according to the question,
x3 – 10x2 – x + 10 = (x – 1)(x2 – 9x – 10)
= (x – 1)[x2 – 10x + x – 10]
= (x – 1)[x(x – 10) + 1(x – 10)]
= (x – 1)(x + 1)(x – 10)
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