Write a function that adds two polynomials. Ensure that the polynomial produced matches the requirements in HASKELL. addPoly :: (Num a, Eq a) => Poly a -> Poly a -> Poly a

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
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Write a function that adds two polynomials. Ensure that the polynomial produced matches the requirements in HASKELL.

addPoly :: (Num a, Eq a) => Poly a -> Poly a -> Poly a

For example:

> addPoly (P [1]) (P [-1,1])
P [0,1]
> addPoly (P [17]) (P [0,0,0,1])
P [17,0,0,1]
>addPoly (P [1,-1]) (P [0,1])
P [1]

You may find it helpful to write addPoly using two helper functions: one to combine the lists of coefficients, and one to trim trailing zeroes.

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