DISCUSS DISCOVER: How Many Real Zeros Can a PolynomialHave? Give examples of polynomials
Chapter 3, Problem 106(choose chapter or problem)
DISCUSS DISCOVER: How Many Real Zeros Can a PolynomialHave? Give examples of polynomials that have thefollowing properties, or explain why it is impossible to findsuch a polynomial.(a) A polynomial of degree 3 that has no real zeros(b) A polynomial of degree 4 that has no real zeros(c) A polynomial of degree 3 that has three real zeros, onlyone of which is rational(d) A polynomial of degree 4 that has four real zeros, noneof which is rational What must be true about the degree of a polynomial withinteger coefficients if it has no real zeros?
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