Apply synthetic division with missing terms and check your answer with remainder theorem

The video tutorial covers synthetic division, starting with identifying linear factors and setting up the polynomial in the correct order. It explains the process of synthetic division, highlighting the importance of including all place values. The remainder theorem is introduced as a method to verify the division results. The tutorial concludes by emphasizing that a remainder of zero indicates a factor, while a non-zero remainder confirms it is not a factor.

What is the first step to determine if we can apply synthetic division?

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How do you rewrite a polynomial to include missing terms?

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Explain the importance of including place values in synthetic division.

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Describe the process of using synthetic division to divide a polynomial.

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What does the remainder theorem tell us about a polynomial and its factors?

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How can you check if a number is a zero of a polynomial using the remainder theorem?

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What does it mean if the remainder is not zero when using synthetic division?

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