Question: A. Use O(n^2) method to evaluate F(x) = a0+a1x+a2x^2+......+anx^n. Justify the Big-Oh bound. B. Use Horner's method, write F(x) again=a0+x(a1+x(a2+x(a3+.....+x(an-1+xan).....))). Why the formula gives a

A. Use O(n^2) method to evaluate

F(x) = a0+a1x+a2x^2+......+anx^n. Justify the Big-Oh bound.

B. Use Horner's method, write F(x) again=a0+x(a1+x(a2+x(a3+.....+x(an-1+xan).....))). Why the formula gives a faster method to evaluate F(x). Determine the Big-Oh bound. Justify the answer.

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