Question: (b). [4 Marks] Show that if p(n) = n* + Cx-ink-1 + ... +czna + cyn + Co is a polynomial in n, where a

(b). [4 Marks] Show that if p(n) = n* + Cx-ink-1 + ... +czna + cyn + Co is a polynomial in n, where a 2 0 are real constants with a > 0 and k 2 1 is a natural number, then log p(n) is o(logn)

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(b). [4 Marks] Show that if p(n) = n* + Cx-ink-1 + ... +czna + cyn + Co is a polynomial in n, where a 2 0 are real constants with a > 0 and k 2 1 is a natural number, then log p(n) is o(logn)

(b). [4 Marks] Show that if p(n) = cynk + Ck-ink-1+ ... + C2m2 + 10 + Co is a polynomial in n, where a 2 O are real constants with ex > 0 and k > 1 is a natural number, then logp(n) is O(logn)

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