## What is the remainder theorem for dummies?

## What is the remainder theorem for dummies?

The remainder theorem states that when a polynomial, f(x), is divided by a linear polynomial , x – a, the remainder of that division will be equivalent to f(a).

## How do you find the remainder?

First, if a number is being divided by 10, then the remainder is just the last digit of that number. Similarly, if a number is being divided by 9, add each of the digits to each other until you are left with one number (e.g., 1164 becomes 12 which in turn becomes 3), which is the remainder.

**How do I find the remainder?**

**What is the easiest way to find remainders?**

Work the division in your calculator as normal. Once you have the answer in decimal form, subtract the whole number, then multiply the decimal value that’s left by the divisor of your original problem. The result is your remainder.

### How do you find the quotient and remainder of a polynomial?

The quotient and remainder can then be determined as follows:

- Divide the first term of the dividend by the highest term of the divisor (meaning the one with the highest power of x, which in this case is x).
- Multiply the divisor by the result just obtained (the first term of the eventual quotient).

### What is the formula of Remainder Theorem?

The remainder theorem formula can be used to find the remainder when a polynomial p(x) is divided by (ax + b). By finding the remainder, we can determine whether (ax + b) is a factor of p(x) as well. If the remainder is 0, then (ax + b) is a factor of p(x), otherwise its not.

**What does the remainder of a polynomial division mean?**

It says that if you divide a polynomial, f(x), by a linear expression, x-A, the remainder will be the same as f(A). For example, the remainder when x^2 – 4x + 2 is divided by x-3 is (3)^2 – 4(3) + 2 or -1.

**What is the rule for remainder?**

Remainder Rule when dividing by 3 – An integer and the sum of its digits both leave the same remainder on division by 3. Therefore, to find the remainder when an integer is divided by 3, first find the sum of its digits. Then divide the sum by 3 to find the remainder.