Determine all of the roots of the given equation:
x^3-2x^2-3x+10=0

Question

Determine all of the roots of the given equation:
x^3-2x^2-3x+10=0

anonymous · Answer

Complex, too?

@mmbuckaroos?

anonymous · Answer

x=-2
x=2-i
x=2+i

anonymous · Answer

Could you explaint o me how you got those so I can try my other problems please?

anonymous · Answer

Sorry, I'm a little low on time... if you bump your question, i'm sure someone else can help you. sorry!

anonymous · Answer

ok thanks

mertsj · Answer

The possible rational roots are the factors of the constant term which is 10 divided by the factors of the coefficient of the term with the highest exponent which is the x^3 term.  It's coefficient is 1.  So the possible rational roots are:
$$\frac{\pm10}{1}, \frac{\pm5}{1}, \pm\frac{2}{1}, \frac{\pm1}{1}$$

mertsj · Answer

Use synthetic division to see if any of those are actually roots.

mertsj · Answer

Since we have reason to believe that -2 is a root, let's try it.

mertsj · Answer

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