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When dividing a by b , we can find the unique quotient polynomial q and remainder polynomial r that satisfy the following equation: a ( x ) b ( x ) = q ( x ) + r ( x ) b ( x ) , where the degree of r ( x ) is less than the degree of b ( x ) .
- Polynomial Division
After we have added, subtracted, and multiplied polynomials,...
- Polynomial Expressions, Equations, & Functions
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- Polynomial Division
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In order to divide polynomials using synthetic division, the denominator (the number(s) on the bottom of the fraction) must satisfy two rules: 1 - Be a linear expression, in other words, each term must either be a constant or the product of a constant and a single variable to the power of 1. 2 - The leading coefficient (first number) must be a 1.
After we have added, subtracted, and multiplied polynomials, it's time to divide them! This will prove to be a little bit more sophisticated. It turns out that not every polynomial division results in a polynomial.
Divide the polynomials. The form of your answer should either be p (x) or p (x) + k x − 5 where p (x) is a polynomial and k is an integer.
In this video professor Sal is explaining how to divide polynomials by monomials with reminders i.e., (4x^2+2x^2+x+1)/x^2 [my own example] for this {(4x^2/x^2),(2x^2/x^2),[(x+1)/x^2]}
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