9. Describe how to find the x-intercepts of a rational function. Include both the long way and the shortcut way, explaining why the shortcut makes mathematical sense.
To find the x-intercepts you must factor it and set it up to zero, then multiply by the denominator on both sides , and then solve for the numerator, this process is the long way. The shortcut is more reasonable because you may equal the numerator to zero rather than dividing it with the denominator. Y will always be zero because whatever you divide or multiply it will always be zero, and its easier to find the x-intercepts.
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