Polynomial functions example problems

Here are a set of practice problems for the Polynomial Functions chapter of the Algebra notes. If you’d like a pdf document containing the solutions the download tab above contains links to

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Precalculus: Polynomial Functions Practice Problems

Here are a set of practice problems for the Polynomial Functions chapter of the Algebra notes. If you’d like a pdf document containing the solutions the download tab above

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Mathematics is the study of numbers, shapes, and patterns. It is used to solve problems and to understand the world around us.

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Polynomial expressions, equations, & functions

Examples: x2– 2x + 1, y4– 6y2+ 9, and mn2– 2mn + 5mn. Now, let’s classify polynomials based on their degrees. The four most common polynomials that we’ll be studying

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Polynomial functions

For problems 1 – 4 factor out the greatest common factor from each polynomial. 6x7 +3x4 −9x3 6 x 7 + 3 x 4 − 9 x 3 Solution. a3b8 −7a10b4 +2a5b2 a 3 b 8 − 7 a 10 b 4 + 2 a 5
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Polynomial Questions and Problems with Solutions

Sketch the graph of each of the following polynomials. f (x) = x3 −2x2 −24x f ( x) = x 3 − 2 x 2 − 24 x Solution. g(x) = −x3 +3x−2 = −(x−1)2(x+2) g ( x) = − x 3 + 3 x − 2 = − ( x − 1) 2

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Mathematical equations can often be confusing, but there are ways to make them clearer. By using simple language and breaking the equation down into smaller pieces, you can help your reader understand what the equation is trying to say.

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To determine math equations, one could use a variety of methods, such as trial and error, looking for patterns, or using algebra.

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Polynomial Functions Practice

Examples of Polynomial Function Problems Polynomial functions are functions that only have non-negative integer exponents of the independent variable. Some examples of polynomial functions are the linear function, the quadratic function, and the cubic function. See more

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