Consider the polynomials /(f) = t + 1 and g(t) = (f + 2)(f + k), where k is an arbitrary

Chapter 4, Problem 4

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Consider the polynomials /(f) = t + 1 and g(t) = (f + 2)(f + k), where k is an arbitrary constant. For which values of the constant k are the three polynomials /(f), f/(f), and g(f) a basis of P21

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