Factor the following rational functions:

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

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

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

b) \(f(x)=\dfrac{x^2-9}{x-3}\)

\(f(x) = \dfrac{(x+3)(x-3)}{x-3}\)

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

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

\(f(x) = \dfrac{4(x+3)(x-1)}{(x+3)(x-7)}\)

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

Return to Explore (Finding Holes)

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