Question

1. # Find The Remainder When (X3 – 2) Is Divided By (X – 1). What Is The Remainder? –X2 – 2 X2 – 2 –2 –1

## Introduction

Mathematics always has a solution and when it comes to finding the remainder of a division calculation, there is a simple way to do it. In this article, we will look at how to find the remainder when (X3 – 2) is divided by (X – 1). We will answer what is the remainder and provide an easy example to demonstrate the process. So if you’re ever stuck on trying to work out a remainder problem, read on and we’ll show you how it’s done!

## What is the remainder when (x3 – 2) is divided by (x – 1)?

When a polynomial is divided by another polynomial, the remainder is the algebraic expression that remains after the division has been performed. In this case, the polynomial (x3 – 2) is being divided by (x – 1). The operation of division can be thought of as “cancelling out” factors that are common to both the dividend and divisor. In this instance, the only common factor between (x3 – 2) and (x – 1) is x, so we can cancel out one factor of x from each term:

(x3 – 2) ÷ (x – 1) = x2 + x + 2

The remainder in this instance is therefore 2.

## How to find the remainder

To find the remainder when (x – a) is divided by (x – b), you can use the following formula:

remainder = (x – a) % (x – b)

where % is the modulus operator.

When dividing a number by another number, the remainder is the amount left over after division has occurred. In this case, the remainder would be –X – X – – –.

## Conclusion

In this article, we explored the mathematical concept of finding remainders when dividing a polynomial by another term. We used an example to work out that the remainder when (X3 – 2) is divded by (X – 1) is -1. This process can be applied to any similar division problem, so if you ever need help in working out a remainder again, now you know what to do!

2. Welcome to the Math Corner! Today we are going to explore the remainder when (X3 – 2) is divided by (X – 1).

Let’s start by breaking down the equation. We have X3 – 2 divided by X – 1. To solve this, we need to use the division algorithm. The division algorithm states that when dividing one polynomial by another, you divide the highest degree term of the dividend by the highest degree term of the divisor, then multiply the result by the divisor, and subtract it from the dividend.

To find the remainder, we must use the division algorithm to divide (X3 – 2) by (X – 1). We divide the highest degree term of the dividend, X3, by the highest degree term of the divisor, X, and we get 1. We then multiply the result, 1, by the divisor, X – 1, and we get X – 1. We then subtract the result, X – 1, from the dividend, X3 – 2, and we get X2 – 2.

The remainder, then, is X2 – 2. We have now found the remainder when (X3 – 2) is divided by (X – 1): X2 – 2.

I hope this was helpful! If you have any more questions about finding the remainder, please let me know.