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# Exam 3 - Math 096 PracticeExamIII x 1 f(x)= 4x 7 1 4x 8 2 2...

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Math 096 Practice Exam III Name______________________ You must show work for credit. Find the domain of the rational function. 1) f(x) = x 4x - 7 1) Simplify the rational expression. 2) - 8 2 - x 2) 3) 3x 2 + 9x 3 5x + 15x 2 3) Multiply or divide as indicated. Simplify completely. 4) 40x + 40 12x - 8 · 96x - 64 2 - 5 4) 5) x 2 + 14x + 45 x 2 + 11x + 18 · x 2 + 5x + 6 x 2 + 8x + 15 5) 6) x 2 + 13x + 36 x 2 + 15x + 54 ÷ x 2 + 4x x 2 + 11x + 30 6) Solve the problem. 7) Find the area of the triangle. 14y 2 in. 7y 20x in. 7) Perform the indicated operation. Simplify if possible. 8) 14 7x 2 - 10 2 8) 9) 8x 2 x - 1 + - x - 1 9) Find the LCD of the rational expressions in the list. 10) 1 8xy , y 3 6x 2 10) 1

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11) r - 1 r 2 + 2r + 1 , 2 r 2 + r 11) Perform the indicated operation. Simplify if possible. 12) m - 5 m 2 - 7m + 6 + 2m + 1 m 2 - 5m + 4 12) 13) 3x x + 1 + 4 x - 1 - 6 x 2 - 1 13) Simplify. 14) 8 y 3 y + 3 14) 15) 3 x + 2 x 2 9 x 2 - 4 x 15) 16) 9 y 5 y + 2 16) 17) 5 x + 7 x 2 25 x 2 - 49 x 17) 18) - 2x - 1 + (5y) - 1 x - 2 18) Divide. 19) 24x 8 - 12x 4 - 4x 8 19) 2
20) 12x 8 + 18x 7 - 18x 5 + 24x 3 + 7x 2 6x 5 20) 21) (24x 2 - 38x + 15) ÷ ( - 4x + 3) 21) 22) (16x 3 - 21x) ÷ (4x - 1) 22) Use synthetic division to divide. 23) x 2 + 6x - 25 x + 9 23) 24) x 3 + 8 x + 2 24) For the given polynomial P(x) and the given c, use the remainder theorem to find P(c).

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Exam 3 - Math 096 PracticeExamIII x 1 f(x)= 4x 7 1 4x 8 2 2...

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