# Let p(x) be a polynomial of degree n, that is, a. Describe a simple O(n 2 )-time algorithm for…

Let p(x) be a polynomial of degree n, that is,

a. Describe a simple O(n2)-time algorithm for computing p(x).

b. Describe an O(nlogn)-time algorithm for computing p(x), based upon a more efficient calculation of xi.

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Order Paper Nowc. Now consider a rewriting of p(x) as

Which is known as Horner’s method. Using the big-Oh notation, characterize the number of arithmetic operations this method executes.