2010 ALABAMA MATHEMATICS CONTEST - ALGEBRA
6:01 AM
Muhammad Yusuf
, Posted in
1. Which
of the following is equal to ∜128 ?
(A) 2∜8
(B) 2∜9
(C) 4∜8
(D) 8∜2
(E) 9∜2
2. If it
true that a5 < a < a4, then which of the following must also
be true ?
(A) −1 < a < 0
(B) 0 <
a < 1
(C) 1 <
a < 2
(D) a ≥ 2
(E) a
< −1
3. How
many polynomials are there of the form x3 − 8x2 + cx + d such
that c and d are real numbers and the three roots of the polynomial are distinct
positive integers?
(A) 1
(B) 2
(C) 3
(D) 4
(E) 5
4. Let f(x) be a
function such that, for every real number x, f(−x) + 2f(x) =
cos x. What is the value of f( ¼ π)?
(A) √2
(B) ½
(C) ½ √3
(D) ¼ √3
(E) ⅙√2
Continuesly problem you can see in [here]
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