# Remainder Theorem & Factor Theorem: Definition & Examples

Instructions:

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question 1 of 3

### Use the Remainder Theorem to find the remainder when f(x) = x^4 + 4x^3 - x^2 - 16x -12 is divided by x - 4.

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### 2. Which example correctly illustrates the Factor Theorem?

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This quiz and the accompanying worksheet will test your understanding of the remainder and factor theorems. You will be required to complete practice problems finding factors of polynomials and identifying examples of each theorem.

## Quiz & Worksheet Goals

In this assessment, you will complete practice problems and identify examples relating to the following concepts:

• Remainder theorem
• Factor theorem
• Determining the factors of a polynomial

## Skills Practiced

This quiz and worksheet allow students to test the following skills:

• Making connections - use understanding of the remainder and factor theorems to identify the next step in determining whether a given expression is a factor of a given polynomial
• Problem solving - use acquired knowledge to solve remainder and factor theorem practice problems involving polynomials
• Interpreting information - verify that you can view information and then use it to identify examples that illustrate the remainder or factor theorems.