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Unformatted text preview: MAC1147: Quiz #1 Solutions
09/01/2009 1. Let A A = 0, π, 0.67, √
1
2, −5, ,
3 (−3)2 . State which elements of are (−3)2 = 3) (a) whole numbers; (0,
(b) integers; (0, 5, (−3)2 = 3)
1
0.67, 5, ,
3
√
(π,
2) (c) rational numbers; (0, (d) irrational numbers. (−3)2 = 3) 2. State whether the following identities are TRUE or F
ALSE (an incorrect answer with some correct work shown may result in partial credit,
however incorrect work leading to a correct answer will be penalized): √
√
a + b = a + b (FALSE)
abn
= 1 (FALSE)
(ab)n √
(a) (b) 3. Consider the polynomial (a) Identify which [(x − 3) + y ]2 special polynomial form this polynomial conforms to, and state its equation. (Perfect square trinomial: (u + v )2 = u2 + 2uv + v 2 )
(b) Use your answer to part (a) to expand the polynomial (expansion
by some other method will result in no credit!). u = (x − 3); v = y
1 u2 + 2uv + v 2 = (x − 3)2 + 2(x − 3)(y ) + y 2
= x2 − 6x + 9 + 2xy − 6y + y 2 2 ...
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This note was uploaded on 12/27/2011 for the course MAC 1147 taught by Professor German during the Summer '08 term at University of Florida.
 Summer '08
 GERMAN
 Calculus, Integers

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