Question

How do you factor `x^3-6x^2-x+30`?

Answer 1

Refer to explanation

Explanation:

We check using Rational Root theorem if any of the divisors of 30 are roots of the equation.

In our case `-2,3,5` are roots of the equation hence the polynomial is factored as

`x^3-6x^2-x+30=(x+2)(x-3)(x-5)`