Using the remainder theorem and checking your answer with synthetic division

The video tutorial covers the remainder theorem, explaining how to determine the remainder of a polynomial when a specific value is substituted for the variable. It demonstrates the application of the theorem with an example, showing the calculation process. The tutorial also introduces the factor theorem, explaining its relation to the remainder theorem. Additionally, synthetic division is explained as an alternative method for verifying results. The video concludes by summarizing the key points and emphasizing the importance of understanding these concepts for solving polynomial equations.

Discuss the differences between the remainder theorem and synthetic division.

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What is the significance of a remainder of zero when using synthetic division?

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