What are all the possible rational zeros for #f(x)=3x^3-x^2-3x+1# and how do you find all zeros?
1 Answer
Explanation:
The pattern of signs of
The pattern of signs for
The rational roots theorem states that we can find all possible rational roots to a polynomial by dividing
I'll begin by trying the negative values since I know for a fact the polynomial has a real root. Of these, we find that
This means we can bring out a factor of
We can factor this quadratic by grouping:
We can use the zero factor principle to find that the remaining roots are