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M17 LE1 Sem1 1011

# M17 LE1 Sem1 1011 - (a 4 m 12 31 m 6-8 4 points(b s 3 8 t 3...

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MATHEMATICS 17 First Long Exam 1st Sem / AY 2010-2011 I. Write TRUE if the statement is true. Otherwise, write FALSE. 1 point each 1. If A and B are sets, then n ( A \ B ) = n ( A ) - n ( A B ). 2. The set Q 0 ∪ { 0 } is closed under addition. 3. The statement “ x + 2(2 x + z ) = x + (2 x + z )2” is true by the commutativity of addition. 4. The imaginary part of the additive inverse of 3 i - 2 is 3. 5. If a is a real number and m and n are positive integers, then ± a 1 n ² m = a m n . II. Do as indicated. 1. Expand: ³ 1 2 x 4 - 4 8 ´ 4 . 4 points 2. Find the quotient and remainder when ( x 4 - 2 x + 1) is divided by (2 - x 2 ). 4 points 3. Factor the following polynomials completely.
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Unformatted text preview: (a) 4 m 12 + 31 m 6-8 4 points (b) s 3 + 8 t 3 + 6 s 2 t + 12 st 2 4 points 4. If z 1 = 1-3 i and z 2 = 2 i + 1, evalaute z 1-z 2 i 27 z 2 . 5 points III. Simplify the following. 6 points each 1. 4 v u u t ± 16 n-3 4 ² ( x-1 y ) 2 4 2 n x 3 y-2 2. 3 + n-4 n 2 4 n 2 + 2 n-6 ÷ ³ 4 2 n-3 + 4 n + 9 9-4 n 2 ´ 3. 2 3 √ 3 3 √ 9 + 3 √-3-(1-3 √ 6 6 √ 16) 4. 3 4-3 a + 3 4 1-a a-3 4 * END OF EXAM * TOTAL: 50 POINTS /ajdporlante 06.24.10/ 1...
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