Beginning Algebra, 11th Edition

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 ...

80. 81. 82. In Exercises 83 and 84, refer to the figure shown here. 83.Find a polynomial that represents the volume of the cube ...

SECTION 5.7 Dividing Polynomials^341 The parts of a division problem are named here. Dividend Quotient Divisor Dividing a Polyno ...

Divide each term by. Quotient rule =- 3 x^3 + 7 x^2 4 + 1 =- 3 x^3 - 7 x^2 - 4 - 1 - 12 = - 4 x 12 x^4 - 4 x - 7 x^3 - 4 x - 4 x ...

SECTION 5.7 Dividing Polynomials^343 Step 4 129 divided by divided by 24 129 Step 5 Subtract. Then bring down Subtract. Then bri ...

CHECK Multiply the divisor, by the quotient, The product must be the original dividend, ✓ Divisor Quotient Dividend NOW TRY Divi ...

Step 7 CHECK Multiply Divisor (Quotient including the Remainder). = 4 x^3 - 4 x^2 + 5 x- 8 ✓ NOW TRY = 4 x^3 - 2 x^2 - 2 x^2 + x ...

11 The answer is x^2 +^32 x+^94 + 4 x^11 - 4. NOW TRY 9 x- 9 9 x+ 2 6 x^2 - 6 x 6 x^2 + 3 x 4 x^3 - 4 x^2 4 x- 4  4 x^3 + 2 x^2 ...