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MAT1033 Lecture 13: 3.4 Solving Rational Equations and Radical Equations Notes

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19 Dec 2017

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Miami Dade College

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Provide a generalization to each of the key terms listed in this section. Rational functions: rational functions are functions that are in the common form of r (x) = p(x) q(x) , which shows where both p(x) and q(x) are polynomial functions while it"s only q(x) can"t be a zero polynomial. Radical equations are equations that have a variable in a root square root, cubic root, etc These solutions occur when the apparent solution, after originally solving the equation, do not equal the original equations when plugged back in to check, which rechecking is the main point of solutions to con rm when dealing with radical equations. R (x) = p (x) q (x) anxn + + a1x + a0 bmxm + + b1x + b0. What is q(x)"s degree is greater than p(x)"s degree: this occurs when the denominator"s degree is larger than the numerator"s degree, m > n, horizontal asymptote: y = 0.

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