quiz1solutions

# quiz1solutions - MAC1147 Quiz#1 Solutions 1 Let A A = 0 π...

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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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