7.7 Chapter Summary
In this chapter, we studied polynomials and their algebraic properties.
|Introduction||We can generalize linear functions, which are functions that have x's and constants that are added together, and quadratic functions, which are functions that have x2's, x's, and constants added together, to mathematical creatures with higher and higher powers of x's. In general, these types of mathematical creatures are known as polynomials.|
|What is a Polynomial?||A mathematical creature of the form:
|The Basic Shape of a Polynomial||The basic shape of f(x)=xeven powers is
The basic shape of f(x)=xodd powers is
|Adding Polynomials||To add two polynomials, combine the x terms with the same powers, adding the coefficients.|
|Multiplying Polynomials||To multiply two polynomials, we multiply each term of the first polynomial by each term in the second polynomial, then combine all terms with the same powers.|