Find a cubic polynomial in standard form with real coefficients, having the zeros 1 and 3i. Let the leading coefficient be 1. P(x) = (Use integels for any numbers in the expression.)

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A: Explanation of the solution is given below...

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Q: the given degree and zeros. Degree​ 4; ​ zeros: −4−2i;  −1 multiplicity 2

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Q: Does there exist a polynomial of positive degree in Z6[x] that is a unit?

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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.