Beginning Algebra, 11th Edition

320 CHAPTER 5 Exponents and Polynomials OBJECTIVES Adding and Subtracting Polynomials; Graphing Simple Polynomials 5.4 1 Identif ...

SECTION 5.4 Adding and Subtracting Polynomials; Graphing Simple Polynomials^321 CAUTION In Example 2(c),we cannot combine and 5m ...

OBJECTIVE 4 Evaluate polynomials. A polynomial usually represents differ- ent numbers for different values of the variable. Eval ...

SECTION 5.4 Adding and Subtracting Polynomials; Graphing Simple Polynomials^323 The polynomials in Example 5also can be added ho ...

We use vertical subtraction in Section 5.7when we divide polynomials. Subtracting Polynomials Vertically Subtract by columns to ...

NOW TRY EXERCISE 10 Graph y=-x^2 - 1. 5.4 Adding and Subtracting Polynomials; Graphing Simple Polynomials The graph of is the gr ...

For each polynomial, determine the number of terms and name the coefficients of the terms. See Example 1. ...

Perform each indicated operation. See Examples 6 and 7. 71.Concept Check Without actually performing t ...

88.Subtract the sum of and from the sum of and . Graph each equation by completing the table of values. See Example 10. ...

SECTION 5.5 Multiplying Polynomials^329 Multiply. See Section 1.8. Multiply. See Section 5.1. 12 a 21 - 5 ab 2 ...

Multiplying Two Polynomials Multiply = 4 m^5 - 2 m^4 + 24 m^3 - 10 m^2 + 20 m Combine like terms. NOW TRY = 4 m^5 - 2 m^4 + 4 m^ ...

SECTION 5.5 Multiplying Polynomials^331 The product of the binomials is the sum of the four monomial products. This approach can ...

Using the FOIL Method Use the FOIL method to find the product Step 1 F Multiply the Firstterms: Step 2 O Find the Outerproduct:. ...

SECTION 5.5 Multiplying Polynomials^333 Complete solution available on the Video Resources on DVD 5.5 EXERCISES Concept Check In ...

65. 66. 67. 68. Find polynomials that represent (a)the area and (b)the perimeter of each square or rectan- gle. (If necessary, r ...

SECTION 5.6 Special Products^335 OBJECTIVES OBJECTIVE 1 Square binomials.The square of a binomial can be found quickly by using ...

(e) Square the binomial. Distributive property NOW TRY In the square of a sum, all of the terms are positive,as in Examples 2(b) ...

SECTION 5.6 Special Products^337 Finding the Product of the Sum and Difference of Two Terms Find each product. (a) Use the rule ...

Complete solution available on the Video Resources on DVD 5.6 EXERCISES 1.Concept Check Consider the square. (a)What is the simp ...

SECTION 5.6 Special Products^339 EXERCISES 61–70 FOR INDIVIDUAL OR GROUP WORK Special products can be illustrated by using areas ...