Remainder theorem

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Now Playing:Remainder theorem– Example 1
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  1. Understanding the remainder Theorem
    Prove the Remainder Theorem
    Remainder theorem
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    Remainder Theorem 2a
    What is a polynomial function?
    Notes
    You may want to refresh your memory on polynomial long division and synthetic division to better understand this lesson. The remainder theorem simply states that if a polynomial f(x) is divided by a linear expression x-r, the value of f(r) is equal to the remainder.
    \cdot When a polynomial, P(x)P(x), is divided by (xa)(x-a): Remainder =P(a)=P(a)
    \cdot When a polynomial, P(x)P(x), is divided by (axb)(ax-b): Remainder =P(ba)=P(\frac{b}{a})