Suppose you know that 1/3 and -2 are zeros of 3x^4-x^3-21x^2-11x+6
Find all the zeros!
Hello,
I'd do it this way :
and are zeros of
Hence
where P is a polynomial of degree 2.
We can rewrite this way :
, but we don't care.
Since the first term is , a=1 because we would have 3x*x*ax˛ as the dominating term.
Hence
Let's study the constant term :
-1*2*c=6
->
Thus
Now, you can develop...