+71 The graph of which of the following rational equations has a hole
A. f(x) = (x2 + 5x + 4) / (x2 + x - 12)
B. f(x) = (x2 - 2x + 1) / (x2 + 7x -15)
C. f(x) = (x2 - 9) / (x2 - 2x - 7)
D. f(x) = (x2 + x - 30) / (x2 + 5x - 14)
+6250 you need to factor the numerator and denominator of each choice and look for the one that
has a common term in both.
\(A.~\dfrac{x^2+5x+4}{x^2+x-12} = \dfrac{(x+4)(x+1)}{(x+4)(x-3)}\\ \text{and thus choice A has a hole at $x=-4$}\)
There may be other choices that have a hole as well. I didn't check.
