10.4 Adding and Subtracting Polynomials What are your objectives for Section 10.4? How can you accomplish each objective? 1 Learn the Vocabulary Associated with Polynomials • Write the defi nition of polynomial in your own words. • Understand the defi ning features of a polynomial, such as descending powers of x, constant, degree of a term, and degree of a polynomial. • Be able to compare and contrast a monomial, a binomial, and a trinomial. • Complete the given example on your own. • Complete You Try 1. 2 Evaluate Polynomials • Complete the given example on your own. • Complete You Try 2. 3 Add Polynomials • Learn the procedure for Adding Polynomials and write an example in your notes. • Complete the given examples on your own. • Complete You Try 3. 4 Subtract Polynomials • Learn the procedure for Subtracting Polynomials and write an example in your notes. • Complete the given examples on your own. • Complete You Trys 4 and 5. Read the explanations, follow the examples, take notes, and complete the You Trys. 1 Learn the Vocabulary Associated with Polynomials In Section 1.8, we defi ned an algebraic expression as a collection of numbers, variables, and grouping symbols connected by operation symbols such as , , , and . An example of an algebraic expression is 8x3 9 2 x2 x 4 The terms of this algebraic expression are 8x3, 9 2 x2, x, and 4. A term is a number or a variable or a product or quotient of numbers and variables. The expression 8x3 9 2 x2 x 4 is also a polynomial. Definition A polynomial in x is the sum of a fi nite number of terms of the form axn, where n is a whole number and a is a real number. (The exponents must be whole numbers.) 790 CHAPTER 10 The Rules of Exponents and Polynomials www.mhhe.com/messersmith
messersmith_power_prealgebra_1e_ch4_7_10
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