In Problems 43 and 44, information is given about a complex polynomial f whose coefficients are real numbers. Find the remaining zerosof f. Then find a polynomial function with real coefficients that has the zeros. 43. Degree 3; zeros: 4 + i, 6 44. Degree 4; zeros: i, 1 + i

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A: As there are multiple questions 43. is alone solved here.

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Q: A FN

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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.