2midterm-practice

# 2midterm-practice - x 6-3 x 2 x-5 by x-1 3 Question 5 What...

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MATH 1715 II-MIDTERM Exam (Practice Question Paper) NAME: SECTION: All questions are worth ﬁve points. The maximum possible total is 50. You have 50 minutes for this exam. Calculators, cell phones etc. are not allowed! Question 1. Sketch the graph of the polynomial p ( x ) = ( x + 2)( x - 1)( x - 4). Make sure your graph shows all intercepts and exhibits the proper end behavior. Question 2. Find a degree three polynomial with zeros - 2, 4 and 1, and whose leading coeﬃcient is 2.

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2 Question 3. Consider two polynomials P ( x ) = 2 x 4 - 5 x 3 + x 2 - x + 12 and D ( x ) = x 2 + 1 . Use long division to express P in the form P ( x ) = D ( x ) · Q ( x ) + R ( x ) . Question 4. What is the remainder upon dividing

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Unformatted text preview: x 6-3 x 2 + x-5 by x-1? 3 Question 5. What are all the possible rational zeros of the polynomial x 5-x + 3? Question 6. Find all the horizontal and vertical asymptotes of the rational function r ( x ) = 2 x-7 x + 3 . 4 Question 7. Sketch the graph of y = 2 x +1-5 . Describe the asymptotes (if any). Question 8. Evaluate the following logarithms: (1) log 3 (81) . (2) log(0 . 1) . (3) e ln 5 . 5 Question 9. Evaluate the expression: log 2 6-log 2 15 + log 2 20 . Question 10. Solve the equation 3 2 x-4 · 3 x + 3 = 0 ....
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2midterm-practice - x 6-3 x 2 x-5 by x-1 3 Question 5 What...

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