Use the polyroots function to find all the roots of a polynomial.
1. Define a polynomial function with no negative exponents.
Polynomials cannot have negative or noninteger powers!
2. Define the coefficients of the polynomial in vector v.
The column of v lists the coefficients in order of increasing powers of x. Note that vector v includes a zero coefficient because the polynomial does not contain an x squared.
3. Apply the function polyroots to the vector v.
4. Plot the polynomial p(x) and its roots.
Complex Coefficients
You can also use polyroots with complex coefficients.
1. Define a polynomial with complex coefficients.
2. Define the vector of coefficients beginning with the constant term.