Question

How do you factor `f(x)=x^3-2x^2+3`?

Answer 1

`(x+1)(x^2 -3x+3)`

Explanation:

For x=-1, f(-1)=0 , hence x+1 is a factor of f(x). Now divide f(x) by x+1, synthetic or long division, the quotient would come out to be `x^2-3x+3`. The factors of f(x) are `(x+1)(x^2 -3x+3)`