Zeros of Polynomials Real zeros to a polynomial are points where the graph crosses the x-axis when y = 0. When we graph each function, we can see these points. Complex zeros are the solutions of the equation that are not visible on the graph. Complex solutions contain imaginary numbers.Click to see full answer. Also to know is, what is an imaginary zero?The roots belong to the set of complex numbers, and will be called “complex roots” (or “imaginary roots”). This negative square root creates an imaginary number. The graph of this quadratic function shows that there are no real roots (zeros) because the graph does not cross the x-axis.Additionally, how do you find all zeros of a polynomial function? Find zeros of a polynomial function Use the Rational Zero Theorem to list all possible rational zeros of the function. Use synthetic division to evaluate a given possible zero by synthetically dividing the candidate into the polynomial. Repeat step two using the quotient found with synthetic division. Find the zeros of the quadratic function. Similarly, it is asked, how many zeros does a polynomial function have? Number of Zeros of a Polynomial Regardless of odd or even, any polynomial of positive order can have a maximum number of zeros equal to its order. For example, a cubic function can have as many as three zeros, but no more. This is known as the fundamental theorem of algebra.How do you find imaginary numbers?An imaginary number is a complex number that can be written as a real number multiplied by the imaginary unit i, which is defined by its property i2 = −1. The square of an imaginary number bi is −b2. For example, 5i is an imaginary number, and its square is −25. Zero is considered to be both real and imaginary.