Chapter 4

Digging Out and Using Roots to Graph Polynomial Functions

In This Chapter

arrow Exploring the factoring of quadratic equations

arrow Solving quadratic equations that you can’t factor

arrow Deciphering and counting a polynomial’s roots

arrow Employing solutions to find factors

arrow Plotting polynomials on the coordinate plane

Ever since those bygone days of algebra, variables have been standing in for unknowns in equations. You’re probably very comfortable with using them by now, so you’re ready to move on and find out how to deal with equations that use multiple terms and figure out how to graph them.

When variables and constants start multiplying, the result is called a monomial, which means “one term.” Examples of monomials include 3, x2, and 4ab3c2. When you start adding and subtracting distinct monomials, you get polynomials, because you create one or more terms. Usually, monomial refers to a polynomial with one term only, binomial refers to two terms, trinomial refers to three, and the word polynomial ...

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