What do you mean finding zeroes?

 

Finding the zeroes of the denominator of a rational fraction involves determining the values of the variable (usually denoted as x) for which the denominator of the fraction becomes zero.

 

These values are important because they represent the points where the fraction may become undefined or have vertical asymptotes.

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Let us find some zeroes!

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If we want to find the values for x which the denominator is equal to zero, let us set the denominator equal to zero, and then find what satisfies the equation to be true.

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So, we have:

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              0 = x(x + 17)

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This one already has the denominator simplified for us, and we can gather the zeroes values quickly!

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For the equation to be true the values of x can be

              x = 0

              x = -17

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Thus, the set of zeroes for the equation in question is [-17, 0]