Question: 4. Odd degree polynomials have a root. (a) Show that p(:r:) = 33:3 + 2:1: + 1 has at least one real root. (b) Show

4. Odd degree polynomials have a root. (a) Show that p(:r:)

4. Odd degree polynomials have a root. (a) Show that p(:r:) = 33:3 + 2:1: + 1 has at least one real root. (b) Show that any odd degree polynomial, p(:r:) = ana'\" + an_1$\"_1 + -- - + (11:1: + do (71 odd) has at least one real root. ((3) Give an example of an even degree polynomial without any real roots

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