43) (h 8)(h 8) 44) 4t2(3t2 5t) h2 64 12t4 20t3 45) a 3 8 p7ba 3 4 p4b 9 32 p11 46) (2n2 9n 3)(4n2 n 8) 8n4 34n3 37n2 69n 24 47) (x2 4x)(x 2) 48) (3y 1)(4y2 y 6) x3 6x2 8x 12y3 y2 17y 6 49) 7m3(5m2 6m 10) 50) a 1 6 hba 1 6 hb 35m5 42m4 70m3 Write an expression for a) the perimeter of each fi gure and b) the area of each fi gure. 51) y 3 y 5 a) 4y 4 units b) y2 2y 15 sq units 52) 6w 5w 4 a) 22w 8 units b) 30w2 24w sq units 53) m2 2m 7 3m a) 2m2 2m 14 units b) 3m3 6m2 21m sq units 54) 3x2 1 3x2 1 a) 12x2 4 units b) 9x4 6x2 1 sq units a 1 36 h2b Objective 2: Multiply Two Polynomials Multiply horizontally. 17) (w 5)(w 7) 18) (r 3)(r 9) 19) (w 12)(w 4) 20) (y 7)(y 1) 21) (3p 7)(p 2) 22) (5u 1)(u 7) 23) (c 4)(6c2 13c 7) 6c3 11c2 45c 28 24) (d 8)(7d 2 3d 9) 7d 3 59d 2 15d 72 25) (4x3 x2 6x 2)(2x 5) 26) (3m3 3m2 4m 9)(4m 7) w2 12w 35 r2 6r 27 w2 16w 48 y2 8y 7 3p2 p 14 5u2 36u 7 8x4 22x3 17x2 26x 10 12m4 9m3 37m2 8m 63 Multiply vertically. 27) (g 4)(g 8) 28) (7n 4)(3n 1) g2 4g 32 21n2 19n 4 29) (5 4w)(3 w) 30) (2 3r)(4 5r) 4w2 17w 15 15r2 22r 8 31) (f 5)(3f 2 2f 4) 32) (k 2)(9k2 4k 12) 3f 3 13f 2 14f 20 9k3 22k2 4k 24 33) (s2 s 2)(s2 4s 3) s4 3s3 5s2 11s 6 34) (4h2 h 2)(6h3 5h2 9h) 24h5 26h4 53h3 19h2 18h 35) (n4 8n2 5)(n2 3n 4) 36) (t2 4t 1)(2t2 t 5) n6 3n5 4n4 24n3 37n2 15n 20 2t4 7t3 7t2 21t 5 Multiply both horizontally and vertically. Which method do you prefer and why? 37) (3y 2)(5y2 4y 3) 38) (2p2 p 4)(5p 3) 15y3 22y2 17y 6 10p3 11p2 17p 12 Mixed Exercises: Objectives 1 and 2 Multiply either horizontally or vertically. 39) (4w 5)(2w 3) 40) (11t4)(2t6) 41) (2k 9)(5k2 4k 1) 42) (c 12)(c 7) 8w2 22w 15 22t10 10k3 37k2 38k 9 c2 5c 84 R2) Which exercises in this section do you fi nd most challenging? Redo some of those problems to get more practice. R1) What is the most common mistake you make when multiplying polynomials? 800 CHAPTER 10 The Rules of Exponents and Polynomials www.mhhe.com/messersmith
messersmith_power_prealgebra_1e_ch4_7_10
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