Solve Polynomial For x

For x^3- 2x^2 - 3x = 0, I can factor out x.

x(x^2 - 2x - 3) = 0

I set each factor to 0.

The first is just x = 0.
The second factor becomes (x - 3)(x + 1).
Setting each factor to 0, I get x = -1, x = 3.
There are three zeros: x = -1, x = 0, x = 3.

The second problem is a 4th degree polynomial. What is the easiest way to solve for x? I say graphing is the easiest approach.

Is there a general formula, similar to the
quadratic formula, for solving any polynomial equation?

You say?

 

The second problem is impossible to factor, so the best way to solve it is using graphing calculator.

 

Thanks. That's what I thought.

See this:

Irrational Number π