Suppose you know that 1/3 and -2 are zeros of 3x^4-x^3-21x^2-11x+6
Find all the zeros!
and are zeros of
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.
Let's study the constant term :
Now, you can develop...