Beginning Algebra, 11th Edition

65. 66.

67. 68.

Find polynomials that represent (a)the area and (b)the perimeter of each square or rectan-

gle. (If necessary, refer to the formulas on the inside covers.)

Find each product. In Exercises 81–84, 89, and 90, apply the meaning of exponents.

The figures in Exercises 95–98 are composed of triangles, squares, rectangles, and circles.

Find a polynomial that represents the area of each shaded region. In Exercises 97 and 98,

leave in your answers. ( If necessary, refer to the formulas on the inside covers.)

97. 98.

p

• 2 x^513 x^2 + 2 x- 5214 x+ 22 - 4 x^313 x^4 + 2 x^2 - x 21 - 2 x+ 12

3 p^312 p^2 + 5 p 21 p^3 + 2 p+ 12 5 k^21 k^3 - 321 k^2 - k+ 42

13 r- 2 s 24 12 z- 5 y 24

714 m- 3212 m+ 12 513 k- 7215 k+ 22

• 3 a 13 a+ 121 a- 42 - 4 r 13 r+ 2212 r- 52

1 p- 323 12 a+ 123 13 m+ 123

15 k+ 3 q 22 18 m+ 3 n 22 1 m- 523

1 b- 1021 b+ 102 12 p- 522 13 m- 122

1 x+ 722 1 m+ 622 1 a- 421 a+ 42

a 2 x+

2

3

yba 3 x-

3

4

a 3 p+ yb

5

4

qba 2 p-

5

3

qb

• 8 r^315 r^2 + 2215 r^2 - 22 - 5 t^412 t^4 + 1212 t^4 - 12

3 y^312 y+ 321 y- 52 2 x^212 x- 521 x+ 32

3 y + 7

y + (^16) x + 2
x + 7
x x + 7
x
x
2 x + 5
4 x + 1
3
3
x
x
5 x + 1
2 x + 3

334 CHAPTER 5 Exponents and Polynomials

Apply a power rule for exponents. See Section 5.1.

99. 
    
    
    
    100. 
         
         
         
         101. 
              
         
         
         
         
    
    
    
    


100. 1 - 5 a 22 103. 14 x^222 104. 18 y^322

13 m 22 15 p 22 1 - 2 r 22

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