MathDB
Evaluating Expressions

Source:

February 7, 2009

Problem Statement

The expression 2x2−x(x+1)(x−2)−4+x(x+1)(x−2) \frac{2x^2-x}{(x+1)(x-2)}-\frac{4+x}{(x+1)(x-2)} cannot be evaluated for x=−1 x=-1 or x=2 x=2, since division by zero is not allowed. For other values of x x:
<spanclass=′latex−bold′>(A)</span> The expression takes on many different values.<spanclass=′latex−bold′>(B)</span> The expression has only the value 2.<spanclass=′latex−bold′>(C)</span> The expression has only the value 1.<spanclass=′latex−bold′>(D)</span> The expression always has a value between −1 and +2.<spanclass=′latex−bold′>(E)</span> The expression has a value greater than 2 or less than −1.<span class='latex-bold'>(A)</span>\ \text{The expression takes on many different values.} \\ <span class='latex-bold'>(B)</span>\ \text{The expression has only the value 2.} \\ <span class='latex-bold'>(C)</span>\ \text{The expression has only the value 1.} \\ <span class='latex-bold'>(D)</span>\ \text{The expression always has a value between } -1 \text{ and } +2. \\ <span class='latex-bold'>(E)</span>\ \text{The expression has a value greater than 2 or less than } -1.
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