75) 2s2(3s 2) 3s(3s 2) 35(3s 2) 0 76) 10n2(n 8) n(n 8) 2(n 8) 0 77) 10a2(4a 3) 2(4a 3) 9a(4a 3) 78) 12d2(7d 3) 5d(7d 3) 2(7d 3) 79) t3 6t 2 4t 24 0 80) k3 8k2 9k 72 0 Find the indicated values for the following polynomial functions. 81) f (x) x2 10x 21. Find x so that f (x) 0. 82) h(t) t 2 6t 16. Find t so that h(t) 0. 83) g(a) 2a2 13a 24. Find a so that g(a) 4. 84) Q(x) 4x2 4x 9. Find x so that Q(x) 8. 85) H(b) b2 3. Find b so that H(b) 19. 86) f (z) z3 3z2 54z 5. Find z so that f (z) 5. 87) h(k) 5k3 25k2 20k. Find k so that h(k) 0. 88) g(x) 9x2 10. Find x so that g(x) 6. Objective 3: Solve Higher Degree Equations by Factoring The following equations are not quadratic but can be solved by factoring and applying the zero product rule. Solve each equation. 61) 8y( y 4)(2y 1) 0 62) 13b(12b 7)(b 11) 0 63) (9p 2)( p2 10p 11) 0 64) (4f 5)( f 2 3f 18) 0 65) (2r 5)(r2 6r 9) 0 66) (3x 1)(x2 16x 64) 0 67) m3 64m 68) r3 81r 69) 5w2 36w w3 70) 14a2 49a a3 71) 2g3 120g 14g2 72) 36z 24z2 3z3 73) 45h 20h3 74) 64d3 100d R4) Can you just look at an equation and determine how many solutions it will have? R5) Which exercises in this section do you fi nd most challenging? R1) Why do you factor a quadratic equation before solving it? R2) Why do quadratic equations in this section have two solutions? R3) Which types of equations in this section have more than two solutions? www.mhhe.com/messersmith SECTION 7.4 Solving Quadratic Equations by Factoring 401
messersmith_power_intermediate_algebra_1e_ch4_7_10
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