Represent a polynomial using a list of its (real) coefficients, starting with the constant coefficient and going only as high as necessary, For example, 3x² - 5x +1 would be represented as the list [1.0, 5.0, 3.0] and x² - 2x as [0.0, -2.0, 0.0, 1.0]. Write a function eval of type real list * real -> real that takes a polynomial represented this way and a value for x and returns the value of that polynomial at the given x. For example, eval ( [1.0,5.0,3.0], 2.0) should evaluate to 23.0, because when x=2, 3x² + 5x + 1 = 23.

Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
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Represent a polynomial using a list of its (real) coefficients, starting with the constant coefficient and going only as high as necessary, For example,
3x² - 5x +1 would be represented as the list [1.0, 5.0, 3.0] and
x² - 2x as [0.0, -2.0, 0.0, 1.0]. Write a function eval of type real list * real -> real that takes a polynomial represented this way and
a value for x and returns the value of that polynomial at the given x. For example,
eval ( [1.0,5.0,3.0], 2.0) should evaluate to 23.0, because when x=2, 3x² + 5x + 1 = 23.
Transcribed Image Text:Represent a polynomial using a list of its (real) coefficients, starting with the constant coefficient and going only as high as necessary, For example, 3x² - 5x +1 would be represented as the list [1.0, 5.0, 3.0] and x² - 2x as [0.0, -2.0, 0.0, 1.0]. Write a function eval of type real list * real -> real that takes a polynomial represented this way and a value for x and returns the value of that polynomial at the given x. For example, eval ( [1.0,5.0,3.0], 2.0) should evaluate to 23.0, because when x=2, 3x² + 5x + 1 = 23.
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