How to apply the remainder theorem by evaluating and synthetic division

The video tutorial explains the remainder theorem and its application in polynomial division. It covers the concept of factors and zeros, and demonstrates synthetic division. The tutorial shows how to verify results using the remainder theorem and evaluate polynomials by substituting values. The lesson concludes with a discussion on verifying remainders and understanding the relationship between synthetic division and polynomial evaluation.

What does it mean if the remainder is not 0 after performing synthetic division?

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How do you evaluate f(k) for a given polynomial function?

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What conclusion can be drawn if evaluating the polynomial at k yields the same result as the synthetic division remainder?

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