ANSWERS TO YOU TRY EXERCISES 1) a) (s 11)(s 6) b) prime c) (x 9)(x 3) 2) 6g2(g 5)(g 2) 3) a) (x 6y)(x 9y) b) 3k(k 7c)(k c) 4) a) (2c 7)(c 2) b) (6n 1)(n 4) c) (4x 3y)(2x y) 5) a) 4m(5m2 2m 1) b) 2(3z 4)(z 2) 6) a) (2m 3)(m 4) b) (3v 1)(v 9) 7) a) 5(3b 2)(b 3) b) (4p 5)(p 2) 8) (2x 13)(x 2) ANSWERS TO TECHNOLOGY EXERCISES 1) (3x 2)(x 5) 2) (2x 9)(x 4) 3) (x 3)(5x 1) 4) (x 3)(2x 7) 5) (x 8)(3x 1) 6) (x 2)(7x 3) 7.2 Exercises Do the exercises, and check your work. Objective 1: Factor a Trinomial of the Form x2 bx c 1) If x2 bx c factors to (x m)(x n) and if c is positive and b is negative, what do you know about the signs of m and n? 2) If x2 bx c factors to (x m)(x n) and if b and c are positive, what do you know about the signs of m and n? 3) When asked to factor a polynomial, what is the fi rst question you should ask yourself? 4) What does it mean to say that a polynomial is prime? 5) After factoring a polynomial, what should you ask yourself to be sure that the polynomial is completely factored? 6) How do you check the factorization of a polynomial? Factor completely, if possible. Check your answer. 7) g 2 8g 12 8) j 2 9j 20 9) w 2 13w 42 10) t 2 15t 36 11) c2 13c 36 12) v2 11v 24 13) m2 m 110 14) s2 3s 28 15) u2 u 132 16) b2 2b 8 17) q2 8q 15 18) z2 10z 24 19) y2 9y 10 20) a2 16a 8 21) p2 20p 100 22) u2 18u 81 Objective 2: More on Factoring a Trinomial of the Form x2 bx c Factor completely, if possible. Check your answer. 23) 3p2 24p 27 24) 5n2 40n 60 25) 2k3 26k2 80k 26) w4 7w3 12w2 27) a3b 9a2b 36ab 28) 4x3y 32x2y 24xy Factor completely by fi rst taking out 1 and then by factoring the trinomial, if possible. Check your answer. 29) a2 10a 16 30) y2 9y 18 31) h2 2h 15 32) j2 j 56 33) k2 11k 28 34) b2 17b 66 35) n2 14n 49 36) z2 4z 4 Objective 3: Factor a Trinomial Containing Two Variables Factor completely. Check your answer. 37) a2 6ab 5b2 38) v2 7vw 6w2 39) m2 4mn 21n2 40) x2 15xy 36y2 41) p2 17pq 72q2 42) r2 9rs 20s2 43) f 2 10fg 11g2 44) u2 2uv 48v2 45) c2 6cd 55d2 46) w2 17wx 60x2 376 CHAPTER 7 Factoring Polynomials www.mhhe.com/messersmith
messersmith_power_intermediate_algebra_1e_ch4_7_10
To see the actual publication please follow the link above