Question

How do you factor the expression `5x^3 - 5x ^2 + 3x - 3`?

Answer 1

`(x-1)(5x^2 +3)`

Explanation:

Identify by eye common factors in pairs of terms. Then the expression can be rewritten as `5x^2(x-1) +3(x-1)`
The common factor `(x-1)` can then be extracted to give
`(x-1)(5x^2 +3)`

The expression cannot be factored further without using the quadratic formula.