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Quiz__3_-_January_31,_2007-KEY

Quiz__3_-_January_31,_2007-KEY - Math 1 180 Quiz#3 January...

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Unformatted text preview: Math 1 180 Quiz #3 January 315‘, 2007 Name: Please answer the following questions to the best of your ability. Print clearly and present your solution as concisely as possible. Thanks and good luck. 1. Algebraically find the vertex of the parabola characterized by the function g(x) = x2 + 4x+ 9 . Hint: the stande form ofa quadratic is expressed as f(x)=a(x—h)2+kwhere a¢0.(4points) (001.): g(x1+‘-\X+—_7 +01 J WH€KE 0x-“-l NW QOMPLETE THE QGZUAP—E iLxL+LlX +43 ‘” 01 ”Ll 2. Perform long division of f(x) = 3x4 + x2 —1 using d(x) 2 x2 - x+3 to determine g(x) and r(x). Hint: the division algorithm for polynomials f(x), d(x), g(x), and r(x) is as follows: f(x) = d(x)q(x) + r(x). 1 O \ .. 3 - m max“ + xZ-i — 7x“ + 0x + X + “ 3x2 + 3% ”*5 (Li) X7—_x +3 3X” +Ox3 +X7' +OX "\ ax“ ~3x3 +Ctxz +O>< +0 ff axa—SKZ‘ +Ox ”\ ...
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