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9. Expand and simplify 3x(2x - 5)(2x + 1)². a) 2x² - 4 b) 6x² - c) 2x² - d) 2x² - 19x - 1 19x + 1 11x - 14

9. Expand and simplify 3x(2x - 5)(2x + 1)². a) 2x² - 4 b) 6x² - c) 2x² - d) 2x² - 19x - 1 19x + 1 11x - 14

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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9. Expand and simplify 3x(2x - 5)(2x + 1)². 13. Identify the expressions that cannot be factored a) b) c) d) 2x² - 4 6x² - 19x + 1 11x - 14 2x² - 2x² - 19x - 1 10. Identify the missing factor: 6x² - 11x - 10 = (3x + 2) a) 2x + 5 b) 2x - 5 c) 5x + 2 d) 5x - 2 - 11. For the expression kx² + 6x + 8, identify the values of k that make the trinomial unfactorable. a) k = 1 b) k = -2 c) k = 2 d) k = 3 12. A model rocket is launched straight upward with an initial velocity of 22 m/s. The height of the rocket, h, in metres, can be modelled by h(t) = −5t² + 22t, where t is the elapsed time in seconds. What is the maximum height the rocket reaches? a) 19.5 m b) 10.2 m c) 24.2 m d) 29.6 m a) 4x² b) c) d) - 12x + 9 x² + 3x + 2 x² - 3x + 5 100 - x² 14. A rectangular enclosure has an area in metres given by A(W) -2w²+36w, where w is the width of the rectangle in rectangular enclosure of 130 m². Determine the width that would create a in metre a) 5 m b) 13 m c) 10 m d) 7 m to f(x) = -2(x - 5)² + 3? 15. Which of the following functions is equivalent a) g(x) = − 2x² - 2x² - 5x + 3 b) g(x) = x² - 10x + 28 − 2x² + 20x - 47 c) g(x) = - d) g(x) = 2x² - 47 b) x = c) x = d) x = - 16. Which of the following expressions is a perfi square? a) 4x² - 9 b) 4x² + 37x + 9 c) 4x² + 12x + 9 d) 4x² + 36x + 9 17. Which are the correct zeros of f(x) = x² - x - 12? a) x = 4 and x = -3 square 4 and x = 3 -4 and x = 3 -4 and x = -3 18. Which are the coordinates of the vertex of f(x) = 2(x-4) (x - 10)? a) (4, 10) b) (7,-18) c) (-7, 18) d) (-4,-10)
Transcribed Image Text:9. Expand and simplify 3x(2x - 5)(2x + 1)². 13. Identify the expressions that cannot be factored a) b) c) d) 2x² - 4 6x² - 19x + 1 11x - 14 2x² - 2x² - 19x - 1 10. Identify the missing factor: 6x² - 11x - 10 = (3x + 2) a) 2x + 5 b) 2x - 5 c) 5x + 2 d) 5x - 2 - 11. For the expression kx² + 6x + 8, identify the values of k that make the trinomial unfactorable. a) k = 1 b) k = -2 c) k = 2 d) k = 3 12. A model rocket is launched straight upward with an initial velocity of 22 m/s. The height of the rocket, h, in metres, can be modelled by h(t) = −5t² + 22t, where t is the elapsed time in seconds. What is the maximum height the rocket reaches? a) 19.5 m b) 10.2 m c) 24.2 m d) 29.6 m a) 4x² b) c) d) - 12x + 9 x² + 3x + 2 x² - 3x + 5 100 - x² 14. A rectangular enclosure has an area in metres given by A(W) -2w²+36w, where w is the width of the rectangle in rectangular enclosure of 130 m². Determine the width that would create a in metre a) 5 m b) 13 m c) 10 m d) 7 m to f(x) = -2(x - 5)² + 3? 15. Which of the following functions is equivalent a) g(x) = − 2x² - 2x² - 5x + 3 b) g(x) = x² - 10x + 28 − 2x² + 20x - 47 c) g(x) = - d) g(x) = 2x² - 47 b) x = c) x = d) x = - 16. Which of the following expressions is a perfi square? a) 4x² - 9 b) 4x² + 37x + 9 c) 4x² + 12x + 9 d) 4x² + 36x + 9 17. Which are the correct zeros of f(x) = x² - x - 12? a) x = 4 and x = -3 square 4 and x = 3 -4 and x = 3 -4 and x = -3 18. Which are the coordinates of the vertex of f(x) = 2(x-4) (x - 10)? a) (4, 10) b) (7,-18) c) (-7, 18) d) (-4,-10)
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