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## Algebra 2

### Unit 4: Lesson 4

Polynomial Remainder Theorem- Intro to the Polynomial Remainder Theorem
- Remainder theorem: finding remainder from equation
- Remainder theorem examples
- Remainder theorem
- Remainder theorem: checking factors
- Remainder theorem: finding coefficients
- Remainder theorem and factors
- Proof of the Polynomial Remainder Theorem
- Polynomial division: FAQ

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# Polynomial division: FAQ

Frequently asked questions about polynomial division

## Why might we divide polynomials?

We divide polynomials for the same reason we divide numbers: to solve problems. By breaking a polynomial down into smaller, more manageable pieces, we can solve problems more easily.

## Why do we need to know how to divide quadratics specifically?

Quadratics are a very common type of polynomial, so they come up often in problems. Knowing how to divide them by linear factors (like x or x, minus, 2) can help us factor them completely.

## How do we use the Polynomial Remainder Theorem?

The Polynomial Remainder Theorem tells us that if we divide a polynomial by a linear factor, the remainder will be equal to the polynomial evaluated at a certain value. So if we want to know what the remainder is when we divide a polynomial by x, minus, 2, we can just plug in 2 to the polynomial and find out.

## Where do these topics come up in the real world?

Polynomials are used in a variety of disciplines, from engineering to physics to economics. Factoring polynomials allows us to work with them in a simpler form, which can make calculations and predictions easier.

## Want to join the conversation?

- Why might we multiply polynomials?(4 votes)
- I think it might be for the same reason we divide them: To solve problems(4 votes)