DISCUSS ■ DISCOVER: How Many Real Zeros Can a Polynomial Have? 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 rationalWhat must be true about the degree of a polynomial withinteger coefficients if it has no real zeros?

Q: Form a polynomial whose zeros and degree are given. Zeros: - 2, multiplicity 1; - 1, multiplicity 2;…

A: here we find a polynomial function of degree 3 whose zeros  -2, multiplicity is -1, multiplicity 2

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Polynomials

Try substituting 1. You will get 6 and not 0. Try other real values also. What About -2? Let us check.