9. Describe how to find the x-intercept of a rational function. Include both the long way and the shortcut way, explaining when the shortcut makes mathematical sense.
Finding the x intercept for the rational function are very easy, you need to remember that for this equation you use the factored out function. We need to make sure we use the factored out equation when trying to find the x intercept because the original function is no longer really necessary. The long way of figuring out the x intercept you have to set the factored out function to 0 and then multiply it on both sides by the denominator. you then are able to set your numerator equal to zero to find the point. The shortcut method is also quite simple because all you need to do is set the numerator, of the factored out function, to zero. Either method should give you the same answer because it is the same thing just a new shorter way of figuring it out.

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