MAC_1147_Fall_11_Exam_2_Review

MAC_1147_Fall_11_Exam_2_Review - MAC 1147 Fall 11 Ref:...

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Unformatted text preview: MAC 1147 Fall 11 Ref: 637049 Mr. Guillen Exam 2 Review Exam 2 will be on 09/23/11 and covers the following sections: 4.1, 4.2, 4.3, 4.4, 4.5, 4.6. Find the correct end behavior diagram for the given polynomial function. 1) f(x) = 5x 3 + 9x 2- 5x + 4 1) 2) f(x) =- 1 3 x 3 + 2x 2 + 4x - 6 2) 3) f(x) = 1.98x 4 + 7x 2 + x - 8 3) 4) f(x) =- 3.55x 4- x 3 + x 2- 6x + 7 4) Find the zeros of the polynomial function and state the multiplicity of each. 5) f(x) = (x + 1) 2 (x - 1) 5) 6) f(x) = 2(x + 6) 2 (x - 6) 3 6) 7) f(x) =- 5x 2 (x - 9)(x + 3) 3 7) 8) f(x) = x 4- 6x 2 + 8 8) 9) f(x) = x 4- 25x 2 + 144 9) 10) f(x) = x 3 + x 2- 2x - 2 10) Graph the function. 11) f(x) = x 3- 2x 2 x-10-5 5 y 10 5-5-10 x-10-5 5 y 10 5-5-10 11) 12) f(x) =- 3x(x + 1)(x - 2) x-10-5 5 y 10 5-5-10 x-10-5 5 y 10 5-5-10 12) 13) f(x) =- x 4- 4x 2 x-10-5 5 10 y 20 15 10 5-5-10-15-20 x-10-5 5 10 y 20 15 10 5-5-10-15-20 13) 14) f(x) = x 4- 4x 3 + 3x 2 x-10-5 5 10 y 20 15 10 5-5-10-15-20 x-10-5 5 10 y 20 15 10 5-5-10-15-20 14) 15) g(x) =- x(x + 2) 2 (x - 3) 2 x-6 -5 -4 -3 -2 -1 1 2 3 4 5 6 y 200 160 120 80 40-40-80-120-160-200 x-6 -5 -4 -3 -2 -1 1 2 3 4 5 6 y 200 160 120 80 40-40-80-120-160-200 15) Use long division to determine whether the binomial is a factor of f(x). 16) f(x) = x 3- 4x 2 + 5x - 2; x - 2 16) 17) f(x) = 2x 3- 15x 2 + 33x - 20; x - 5 17) 18) f(x) = x 3- 4x 2- 31x + 70; x + 5 18) 19) f(x) = 4x 3- 37x 2 + 19x + 168; x - 8 19) 20) f(x) = x 4- 10x 3 + 35x 2- 50x + 24; x - 2 20) 21) f(x) = 4x 3- 37x 2 + 19x + 168; x - 8 21) A polynomial P(x) and a divisor d(x) are given. Use long division to find the quotient Q(x) and the remainder R(x) when P(x) is divided by d(x), and express P(x) in the form d(x) Q(x) + R(x). 22) P(x) = x 3- x 2 + 3 d(x) = x + 2 22) 23) P(x) = 2x 3 + x 2- 3x + 2 d(x) = x + 3 23) 24) P(x) = x 3- 4 d(x) = x + 4 24) 25) P(x) = 2x 4- x 3- 15x 2 + 3x d(x) = x + 3 25) 26) P(x) = 3x 4- 2x 3- 10x 2 + 15 d(x) = x - 2 26) Use synthetic division to find the quotient and the remainder. 27) (x 3- x 2 + 4 ) (x + 2) 27) 28) (2x 4- x 3- 15x 2 + 3x) (x + 3) 28) 29) (2x 3 + 3x 2 + 4x - 10) (x + 1) 29) 30) (2x 5- x 4 + 3x 2- x + 5) (x - 1) 30) 31) (x 4- 2) (x - 4) 31) 32) (x 5 + 8x 4 + 15x 3 + 21x 2 + 21x + 20) (x + 6) 32) Use synthetic division to find the function value. 33) f(x) = x 3 + 4x 2 + 5x - 4; find f(5) 33) 34) f(x) = 2x 4- 4x 3 + 5x 2 + 7x - 4; find f(2) 34) 35) f(x) = 3x 5- 4x 4 + 2x 3- x + 10; find f(4). 35) 36) f(x) = x 3 + 8; find f(3). 36) 37) f(x) = x 3 + 5; find f(3 + i). 37) 38) f(x) = x 4- 64; find f(1 - 2 ). 38) 39) f(x) = x 2 + 5x + 4; find f(- 4 + 2i) 39) Using synthetic division, determine whether the numbers are zeros of the polynomial....
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MAC_1147_Fall_11_Exam_2_Review - MAC 1147 Fall 11 Ref:...

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