I need this answer in Haskell Programming language only. 2. Write a function that multiplies a polynomial by a constant (or scalar).

Database System Concepts
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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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I need this answer in Haskell Programming language only.

2. Write a function that multiplies a polynomial by a constant (or scalar).

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

For example:

> scale 2 (P [-1,0,1])
P [-2,0,2]
> scale 0 (P [0,0,2])
P []

## Polynomial Scaling Function

### Problem Statement
Write a function that multiplies a polynomial by a constant (or scalar).

### Function Signature
```haskell
scale :: (Num a, Eq a) => a -> Poly a -> Poly a
```

### Example Usage
```haskell
> scale 2 (P [-1,0,1])
P [-2,0,2]
> scale 0 (P [0,0,2])
P []
```

In this example, the `scale` function takes a scalar and a polynomial in the form of a list of coefficients, then returns a new polynomial where each coefficient has been multiplied by the given scalar. If the scalar is zero, the result is an empty polynomial.
Transcribed Image Text:## Polynomial Scaling Function ### Problem Statement Write a function that multiplies a polynomial by a constant (or scalar). ### Function Signature ```haskell scale :: (Num a, Eq a) => a -> Poly a -> Poly a ``` ### Example Usage ```haskell > scale 2 (P [-1,0,1]) P [-2,0,2] > scale 0 (P [0,0,2]) P [] ``` In this example, the `scale` function takes a scalar and a polynomial in the form of a list of coefficients, then returns a new polynomial where each coefficient has been multiplied by the given scalar. If the scalar is zero, the result is an empty polynomial.
Expert Solution
Step 1

ALGORITHM:-

1. Define a function scale that takes a constant and a polynomial and multiplies them.

2. Pass a constant and a polynomial to this function.

3. Print the result.

4. Finish.

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