 # Exercises 36—39 refer to the following algorithm to compute the value of a real polynomial. Algorithm 11.3.3 Term-by-Term Polynomial Evaluation [This algorithm computes the value of a polynomial a [ n ] x n + a [ n − 1 ] x n − 1 + ⋯ + a [ 2 ] x 2 + a [ 1 ] x + a [ 0 ] by computing each term separately, starting with a [ 0 ] , and adding it to an accumulating sum.] Input: n [a nonnegative inreger], a [ 0 ] , a [ 1 ] , a [ 2 ] , … a [ n ] [an array of real numbers], x [a real number] Algorithm Body: p o l y v a l : = a [ 0 ] for i : = 1 to n t e r m : = a [ i ] for j : = 1 to i t e r m : = t e r m ⋅ x next j p o l y v a l : = p o l y v a l + t e r m next i [ A t t h i s p o i n t p o l y v a l = a [ n ] x n + a [ n − 1 ] x n − 1 + ⋯ + a [ 2 ] x 2 + a [ 1 ] x + a [ 0 ] . ] Output: polyval [a real number] 39. Use the theorem on polynomial orders to find an order for Algorithm 11.3.3. ### Discrete Mathematics With Applicat...

5th Edition
EPP + 1 other
Publisher: Cengage Learning,
ISBN: 9781337694193 ### Discrete Mathematics With Applicat...

5th Edition
EPP + 1 other
Publisher: Cengage Learning,
ISBN: 9781337694193

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Chapter 11.3, Problem 39ES
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