Synthetic division is a method used to divide polynomials, specifically when dividing by a linear factor. It simplifies the process by using coefficients instead of variables.
Think of synthetic division as a fast-food drive-thru for polynomials. Instead of going through the hassle of long division with variables, you can simply use the coefficients and get your answer quickly.
Remainder Theorem: A theorem that states if you divide a polynomial f(x) by (x - c), then the remainder is equal to f(c).
Factor Theorem: A theorem that states if (x - c) is a factor of a polynomial f(x), then f(c) = 0.
Rational Root Theorem: A theorem that helps find possible rational roots (zeros) of a polynomial equation.
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