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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