72-74 Real and Non-Real Coefficients So far, we have worked only with polynomials that have real coefficients. These exercises involve polynomials with real and imaginary coefficients. 74. (a) Find the polynomial with real coefficients of the smallest possible degree for which i andi+i are zeros and in which the coefficient of the highest power is 1. (b) Find the polynomial with complex coefficients of the smallest possible degree for which i and 1 + i are zeros and in which the coefficient of the highest power is 1.

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Q: 47–64 ■ Finding Complex Zeros Find all zeros of thepolynomial.

A: Given polynomial is: Px=x3+2x2+4x+8 Factorizing we get, Px=x2x+2+4x+2Px=x+2x2+4

Q: 72–74 ■ Real and Non-Real Coefficients So far, we haveworked only with polynomials that have real…

A: Real and Non-Real Coefficients So far, we have worked only with polynomials that have real…

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Q: 72-74 Real and Non-Real Coefficients So far, we have worked only with polynomials that have real…

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Q: Find a polynomial of degree 4 that has the following zeros: 1, -3, -2i.

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