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Suppose f(z) and g(z) are polynomials in z , and the degree of g(z) is less than the degree of f(z). If the degree of f(z) is 3, what is the largest possible degree of f(z)*g(z)?

 Dec 10, 2020
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For simplicity  say      f(z) = z^3

                                   g(z) = z^2

 

z^3  *  z^2 =  z(3+2)  = z5          5 is the largest possible degree for integer exponents

 Dec 10, 2020

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