Lesson 1: 8-1 Adding an Subtracting Polynomials

What is the difference between a binomial and trinomial?
Name three possible parts of a monomial and give an example.
Write an example of quadratic expression.
Write an example of a linear expression.
Describe th edifference between a quadratic expression and a linear expression.

polynomial
binomial
trinomial
degree of monomial
degree of polynomial
standard form of a polynomial
leading coefficient

A.APR.1 Understand that polynomials form a system analogous to the integers, namely, they are closed under the operations of addition, subtarction, and multiplication; add, subtract, and multiply polynomials.
A.SSE.1a Interpret parts of an expression, such as terms, factors, and coefficients.

SAT questions related to polynomial operations: 7-3-2, 6-4-1, 4-3-5, 3-4-6, 1-3-5, 4-4-2, 3-4-33, 8-3-5;

A polynomial is a monomial or sum or difference of monomials. To add polynomials, add the coefficients of like terms using the rules of adding real numbers. To subtarct polynomials, replace each term of the polynomial being subtracted with its additive inverse and combine like terms.

The sales data of digital audio players can be modeled by the equation U = -2.7t^2 + 49.4t + 128.7, where U is the number of units shipped in millions and t is the number of years since 2005. The expressions -2.7t^2 + 49.4t + 128.7 is an example of a polynomial. Polynomilas can be used to model situations.

Some students may find it helpful to mark through like terms as they mentally combine them. This saves time spent on rewriting to group like terms.

Have students work in pairs to find the sums and differences. Then compare answers and steps used to get their answers. When they differ, pairs should consult with another pair of students. Students should offer constructive reinforcement to each other.

Practice: Exercises 1 -19

Exercises 68-72

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