Finding Zeros Of Polynomials With Imaginary Numbers. When we graph each function we can see these points. As we mentioned a moment ago the solutions or zeros of a polynomial are the values of x when the y value equals zero polynomials can have real zeros or complex zeros.
To find the other two zeros we can divide the original polynomial by either with long division or with synthetic division. Factoring a polynomial and finding all real and imaginary zeros of the polynomials. In general finding all the zeroes of any polynomial is a fairly difficult process.
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While there are clearly no real numbers that are solutions to this equation leaving things there has a certain feel of incompleteness. This gives us the second factor of. We will be able to use the process for finding all the zeroes of a polynomial provided all but at most two of the zeroes are rational. Since we know that one of the zeros of this polynomial is 3 we know that one of the factors is.