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Using the big-oh notation characterize the number of

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

(b) Now consider a rewriting of p(x) as

p(x) = a0+x(a1 +x(a2 +x(a3+···+x(an-1 +xan) ···))), which is known as Horner's method. Using the big-Oh notation, characterize the number of arithmetic operations this method executes.

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