Question: i. Show that the polynomial p3, where p3(x) = 1 + x + x2/2! + x3/3!, has at least one real root. ii.Show that

i. Show that the polynomial p3, where p3(x) = 1 + x

i. Show that the polynomial p3, where p3(x) = 1 + x + x2/2! + x3/3!, has at least one real root. ii.Show that the polynomial p2, where p2(x) = 1 + x + x2/2!, has no real roots and deduce that p3 has exactly one real root.

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