Factorize each of

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)