79) m2 7mn 44n2 80) a2 10ab 24b2 81) h2 10h 32 prime 82) z2 9z 36 prime 83) 4q3 28q2 48q 84) 3w3 9w2 120w 85) k2 18k 81 86) y2 8y 16 87) 4h5 32h4 28h3 88) 3r4 6r3 45r2 89) k2 21k 108 90) j2 14j 15 91) p3q 17p2q2 70pq3 92) u3v2 2u2v3 15uv4 93) a2 9ab 24b2 prime 94) m2 8mn 35n2 prime 95) x2 13xy 12y2 96) p2 3pq 40q2 97) 5v5 55v4 45v3 98) 6t4 42t3 48t2 99) 6x3y2 48x2y2 54xy2 6xy2(x 9)(x 1) 100) 2c2d 4 18c2d 3 28c2d 2 2c2d 2(d 2)(d 7) 101) 36 13z z2 102) 121 22w w2 103) a2b2 13ab 42 104) h2k2 8hk 20 (m 4n)(m 11n) (a 6b)(a 4b) 4q(q 3)(q 4) 3w(w 8)(w 5) (k 9)(k 9) or (k 9)2 (y 4)(y 4) or (y 4)2 4h3(h 7)(h 1) 3r2(r 5)(r 3) (k 12)(k 9) ( j 15)( j 1) pq(p 7q)(p 10q) uv2(u 3v)(u 5v) (x 12y)(x y) ( p 8q)( p 5q) 5v3(v2 11v 9) 6t2(t2 7t 8) (z 9)(z 4) (w 11)(w 11) or (w 11)2 (ab 6)(ab 7) (hk 10)(hk 2) 65) u2 14uv 45v2 66) h2 8hk 7k2 67) m2 4mn 21n2 68) a2 6ab 40b2 69) a2 24ab 144b2 70) g2 6gh 5h2 (u 5v)(u 9v) (h 7k)(h k) (m 3n)(m 7n) (a 10b)(a 4b) (a 12b)(a 12b) or (a 12b)2 (g 5h)(g h) Determine whether each polynomial is factored completely. If it is not, explain why and factor it completely. 71) 3x2 21x 30 (3x 6)(x 5) 72) 6a2 24a 72 6(a 6)(a 2) yes 73) n4 3n3 108n2 n2(n 12)(n 9) yes 74) 9y3 45y2 54y (y 2)(9y2 27y) No; from (3x 6) you can factor out a 3. The correct answer is 3(x 2)(x 5). No; from (9y2 27y) you can factor out 9y. The correct answer is 9y(y 3)(y 2). Mixed Exercises: Objectives 2–4 Factor completely. Begin by asking yourself, “Can I factor out a GCF?” 75) 2x2 16x 30 76) 3c2 21c 18 77) n2 6n 8 78) a2 a 6 2(x 5)(x 3) 3(c 1)(c 6) (n 4)(n 2) (a 2)(a 3) R1) Do you have quick recall of the multiplication facts from 1 to 12, or do you need more practice? If so, practice using fl ash cards. R2) Were you able to do most of the factoring in your head? R3) Could you complete similar exercises without looking at your notes? 7.3 Factoring Trinomials of the Form ax2 bx c (a 1) What are your objectives for Section 7.3? How can you accomplish each objective? 1 Factor ax2 bx c 1a 12 by Grouping • Write your own procedure for Factoring ax2 bx c (a 1) by Grouping in your notes by following Objective 1’s introduction. • Complete the given examples on your own. • Complete You Trys 1 and 2. 2 Factor ax2 bx c 1a 12 by Trial and Error • Summarize in your notes how you would factor by trial and error. • Complete the given examples on your own. • Complete You Trys 3 and 4. www.mhhe.com/messersmith SECTION 7.3 Factoring Trinomials of the Form ax2 bx c (a 1) 405
messersmith_power_introductory_algebra_1e_ch4_7_10
To see the actual publication please follow the link above