Define a relation S on the set of positive integers as follows: for all positive integers m and n,
m S n ? m | n.
(a) Is S reflexive? Justify your answer.
(b) Is S symmetric? Justify your answer.
a. S is reflexive because for every positive integer m, m | m (since m = m · 1).
b. S is not symmetric because, for example, 2 | 4 but 4 - 2.
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Divide. Write the quotient in lowest terms.
÷ 
A. 
B. 
C. 
D. 
Simplify the expression.(
+ 
)(
- 
)
A. 
+ 
- 
- 3
B. 
+ 
+ 
+ 3
C. 
+ 
- 
+ 3
D. 
+ 
+ 
- 3
Give the maximum number of zeros the polynomial function may have. Use Descarte's Rule of Signs to determine how many positive and how many negative zeros it may have.f(x) = x5 - 2.3x4 - 17.7x3 + 28.158x2 + 33.09x - 6.923
A. 5; 3 or 1 positive zeros; 3 or 1 negative zeros B. 5; 2 or 0 positive zeros; 2 or 0 negative zeros C. 5; 2 or 0 positive zeros; 3 or 1 negative zeros D. 5; 3 or 1 positive zeros; 2 or 0 negative zeros
Solve the equation. Round the solution to the nearest tenth.156 = 257m
A. -101 B. -0.4 C. 1.65 D. 0.6