Consider the polynomial function g(x) = -x^5 - 9x^3 - 8x. Factor g(x) completely and determine all of its complex zeros. Which of the zeros of g are not x-intercepts of the graph of y = g(x)? Why do these zeros not correspond to a point on the x-axis? In general, what can be said about the similarities and differences between the zeros and the x-intercepts of the graphs of polynomial functions?

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A: Topic : Equations

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Roots

The main dissimilarity between real and complex roots is that the real roots are obtained as real numbers, in contrast with the complex roots, which are indicated as imaginary numbers. The standard format for depicting any complex number is in the form of a + bi.