Polynomial and rational functions

OpenStax

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Introduction to polynomial and rational functions

Complex numbers

Quadratic functions

Power functions and polynomial functions

Graphs of polynomial functions

Dividing polynomials

1 Using long division to divide polynomials

2 Using synthetic division to divide polynomials

3 Using polynomial division to solve application problems

4 Key equations

6 Section exercises

12 Real-world applications

Zeros of polynomial functions

1 Evaluating a polynomial using the remainder theorem

2 Using the factor theorem to solve a polynomial equation

3 Using the rational zero theorem to find rational zeros

4 Finding the zeros of polynomial functions

5 Using the fundamental theorem of algebra

6 Using the linear factorization theorem to find polynomials with given

7 Using descartes’ rule of signs

8 Solving real-world applications

10 Section exercises

17 Real-world applications

Rational functions

Inverses and radical functions

Modeling using variation

Source: OpenStax, Precalculus. OpenStax CNX. Jan 19, 2016 Download for free at https://legacy.cnx.org/content/col11667/1.6

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