Question: Consider the polynomial function g(x) = x + 2x + 3x + 8x - 4. If you know that 2i is a complex zero

Consider the polynomial function g(x) = x + 2x + 3x +

Consider the polynomial function g(x) = x + 2x + 3x + 8x - 4. If you know that 2i is a complex zero of g(x), find all the other zeros of g(x) (exact answers only; do not round). Find a fourth-degree polynomial with real coefficients and whose zeros are x = 3 (with multiplicity 2) and x = -1- 4i. Use f(-1) = 512 to find the leading coefficient. Do not multiply all the factors, only the complex ones.

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