data Poly a = P [a] deriving (Show, Eq) Thus, P [2,1] represents the polynomial x + 2, P [-1,0,1] represents x – 1, P [0,0,0,2] represents 2x', and so forth. 1. The degree of a polynomial is the largest exponent occurring in any of its terms. Write a function that returns the degree of a polynomial. degree :: Poly a -> Int
data Poly a = P [a] deriving (Show, Eq) Thus, P [2,1] represents the polynomial x + 2, P [-1,0,1] represents x – 1, P [0,0,0,2] represents 2x', and so forth. 1. The degree of a polynomial is the largest exponent occurring in any of its terms. Write a function that returns the degree of a polynomial. degree :: Poly a -> Int
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
Section: Chapter Questions
Problem 1PE
Related questions
Question
![We will design a type representing polynomials. A polynomial is a function of some
variable x written in the form a,x" + an-1x"-l +
+ a2x² + ajx + ao. The
values a; are the coefficients of the polynomial.
We can represent a polynomial as a list of coefficients. For convenience, we will
start with ao followed by aj and so forth. Two polynomials are equal if all their
coefficients are equal. To simply things, we will require our lists to be finite and end
with a non-zero coefficient.
Copy this data declaration to a file:
data Poly a =
P [a] deriving (Show, Eq)
Thus, P [2,1] represents the polynomial x + 2, P [-1,0,1] represents x – 1, P
[0,0,0,2] represents 2x', and so forth.
1. The degree of a polynomial is the largest exponent occurring in any of its terms.
Write a function that returns the degree of a polynomial.
degree :: Poly a -> Int
For example:
> degree (P [)
> degree (P [8])
> degree (P [2,1])
1
> degree (P [-1,0,2])
2](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F2ae8a81d-a7d2-4710-8da9-0de0f94786a9%2F48f9b92c-44eb-4e95-9645-381eed9105e8%2Ffptf6w4_processed.png&w=3840&q=75)
Transcribed Image Text:We will design a type representing polynomials. A polynomial is a function of some
variable x written in the form a,x" + an-1x"-l +
+ a2x² + ajx + ao. The
values a; are the coefficients of the polynomial.
We can represent a polynomial as a list of coefficients. For convenience, we will
start with ao followed by aj and so forth. Two polynomials are equal if all their
coefficients are equal. To simply things, we will require our lists to be finite and end
with a non-zero coefficient.
Copy this data declaration to a file:
data Poly a =
P [a] deriving (Show, Eq)
Thus, P [2,1] represents the polynomial x + 2, P [-1,0,1] represents x – 1, P
[0,0,0,2] represents 2x', and so forth.
1. The degree of a polynomial is the largest exponent occurring in any of its terms.
Write a function that returns the degree of a polynomial.
degree :: Poly a -> Int
For example:
> degree (P [)
> degree (P [8])
> degree (P [2,1])
1
> degree (P [-1,0,2])
2
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