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Remainder theorem - Polynomial Functions

Remainder theorem

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.

Lessons

Notes:
\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})
  • 2.
    Finding the Remainder Using Synthetic Division and the Remainder Theorem
    Find the remainder when (4x37x+10)\left( {4{x^3} - 7x + 10} \right) is divided by (2x5)\left( {2x - 5} \right)
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Remainder theorem

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