Find the factors of the expression x3-3x2-x+3

Find the factors of the expression x³-3x²-x+3

A (x-3)(x-1)2

B (x3+3)(x+1)2

C (x-3)(x-1)(x+1)

D (x+3)(x-1)(x+1)

Solution

Correct Answer: Option C

x3-3x2-x+3

=x2(x-3)-1(x-3)

=(x-3)(x2 -1)

=(x-3)(x-1)(x+1)