Problem

Consider the following algorithm (known as Horner’s rule) to evaluate : poly = 0; for( i =...

Consider the following algorithm (known as Horner’s rule) to evaluate :

	poly = 0;	for( i = n; i >= 0; i-- )		poly = x * poly + a[i];

a. Show how the steps are performed by this algorithm for x = 3, f (x) = 4x4 + 8x3 + x + 2.
b. Explain why this algorithm works.
c. What is the running time of this algorithm?

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Solutions For Problems in Chapter 2

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