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
    Characteristics of polynomials
    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})