1954 AMC 12 Question 22
AMC12 · 1954 AMC 12
The expression $\dfrac{2x^2-x}{(x+1)(x-2)}$ ${}-\dfrac{4+x}{(x+1)(x-2)}$ cannot be evaluated for $x=-1$ or $x=2,$ since division by zero is not allowed. For other values of $x:$
The expression takes on many different values.
The expression has only the value $2.$
The expression has only the value $1.$
The expression always has a value between $-1$ and
$2.$
The expression has a value greater than $2$ or less than
$-1.$