Factor by trial and error. See Examples 3 and 4. 33) 2r2 9r 10 34) 3q2 10q 8 (2r 5)(r 2) (3q 4)(q 2) 35) 3u2 23u 30 36) 7m2 15m 8 (3u 5)(u 6) (7m 8)(m 1) 37) 7a2 31a 20 38) 5x2 11x 36 (7a 4)(a 5) (5x 9)(x 4) 39) 6y2 23y 10 40) 8u2 18u 7 (3y 10)(2y 1) (4u 7)(2u 1) 41) 9w2 20w 21 42) 10h2 59h 6 (9w 7)(w 3) (10h 1)(h 6) 43) 8c2 42c 27 44) 15v2 16v 4 (4c 3)(2c 9) (5v 2)(3v 2) 45) 4k2 40k 99 46) 4n2 41n 10 (2k 11)(2k 9) (4n 1)(n 10) 47) 20b2 32b 45 48) 14g2 27g 20 (10b 9)(2b 5) (7g 4)(2g 5) 49) 2r2 13rt 24t2 50) 3c2 17cd 6d 2 (2r 3t)(r 8t) (3c d )(c 6d ) 51) 6a2 25ab 4b2 52) 6x2 31xy 18y2 (6a b)(a 4b) (3x 2y)(2x 9y) Mixed Exercises: Objectives 1 and 2 53) Factor 4z2 5z 6 using each method. Do you get the same answer? Which method do you prefer? Why? (4z 3)(z 2); the answer is the same. 54) Factor 10a2 27a 18 using each method. Do you get the same answer? Which method do you prefer? Why? (5a 6)(2a 3); the answer is the same. Use the trinomial ax2 bx c (a 0) to answer always, sometimes, or never to Exercises 55 and 56. 55) If the product of a and c is negative, both factors will have a minus sign between terms. never 56) If the product of a and c is positive, both factors will have a minus sign between terms. sometimes Factor completely. 57) 3p2 16p 12 58) 2t2 19t 24 (3p 2)(p 6) (2t 3)(t 8) 59) 4k2 15k 9 60) 12x3 15x2 18x (4k 3)(k 3) 3x(4x 3)(x 2) 61) 30w3 76w2 14w 62) 12d2 28d 5 2w(5w 1)(3w 7) (2d 5)(6d 1) 63) 21r2 90r 24 64) 45q2 57q 18 3(7r 2)(r 4) 3(5q 3)(3q 2) 65) 6y2 10y 3 66) 9z2 14z 8 prime prime 67) 42b2 11b 3 68) 13u2 17u 18 (7b 3)(6b 1) (13u 9)(u 2) 69) 7x2 17xy 6y2 70) 5a2 23ab 12b2 (7x 3y)(x 2y) (5a 3b)(a 4b) 71) 2d 2 2d 40 72) 6c2 42c 72 2(d 5)(d 4) 6(c 3)(c 4) 73) 30r4t2 23r3t2 3r2t2 r2t2(6r 1)(5r 3) 74) 8m2n3 4m2n2 60m2n 4m2n(2n 5)(n 3) 75) 9k2 42k 49 (3k 7)2 76) 25p2 20p 4 (5p 2)2 Factor completely by fi rst taking out a negative common factor. See Example 5. 77) n2 8n 48 (n 12)(n 4) 78) c2 16c 63 (c 7)(c 9) 79) 7a2 4a 3 (7a 3)(a 1) 80) 3p2 14p 16 (3p 8)(p 2) 81) 10z2 19z 6 (5z 2)(2z 3) 82) 16k3 48k2 36k 4k(2k 3)2 83) 20m3 120m2 135m 5m(2m 9)(2m 3) 84) 3z3 15z2 198z 3z(z 11)(z 6) 85) 6a3b 11a2b2 2ab3 ab(6a b)(a 2b) 86) 35u4 203u3v 140u2v2 7u2(5u 4v)(u 5v) R3) How much more practice will you need to master the objectives of this section? R1) How have your arithmetic skills helped you complete these exercises? R2) Which method of factoring did you prefer while completing the exercises? Why? 412 CHAPTER 7 Factoring Polynomials www.mhhe.com/messersmith
messersmith_power_introductory_algebra_1e_ch4_7_10
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