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Explain how division of polynomials is similar to long division of numbers.
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See what happens if you express a decimal number like 169 as a polynomial.
If you're dividing a polynomial by something more complicated than just a simple monomial, then you'll need to use a different method for the simplification. That method is called "long (polynomial) division", and it works just like the long (numerical) division you did back in elementary school, except that now you're dividing with variables.
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Okay. Here is my point: you can express 169 by \( 1(10^2) + 6(10^1) + 9(10^0)\). You can divide that longhand by \( 1(10^1) )+ 3(10^0) \) replace 10 by x, and you have a valid example of polynomial division.
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