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For positive n and f(n), choose time complexity of f(n), if f(n) = a_0 + a_1 n + a_2 n^2 + ...... + a_m…

A polynomial \(f(n) = a_0 + a_1 n + a_2 n^2 + \dots + a_m n^m\) of degree \(m\) with leading coefficient \(a_m > 0\) grows asymptotically as \(\Theta(n^m)\).

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For positive n and f(n), choose time complexity of f(n), if f(n) = a_0 + a_1 n + a_2 n^2 + ...... + a_m n^m, and a_m > 0.

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Correct answer A

A polynomial f(n)=a0+a1n+a2n2+⋯+amnmf(n) = a_0 + a_1 n + a_2 n^2 + \dots + a_m n^m of degree mm with leading coefficient am>0a_m > 0 grows asymptotically as Θ(nm)\Theta(n^m).

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  • RPSC Assistant Professor (College Education)

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