RATL 3 | Lesson 4 | Solutions (Finding Holes)

Factor the following rational functions:

a) \(f(x)=\Large \frac{3x^2-12x-15}{x^2-3x-10}\)

\(f(x)=\Large\frac{3(x+1)(x-5)}{(x+2)(x-5)}\)

There is a hole at \(x = 5\).

b) \(f(x)=\Large \frac{x^2-9}{x-3}\)

\(f(x) = \Large\frac{(x+3)(x-3)}{x-3}\)

There is a hole at \(x = 3\).

c) \(f(x)=\Large \frac{4x^2+8x-12}{x^2-4x-21}\)

\(f(x) = \Large\frac{4(x +3)(x – 1)}{(x + 3)(x – 7)}

There is  hole at \(x = -3\).

 

 


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