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# Find the Product of All x Such that the Expression is Undefined

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Find the product of all x such that the expression $$\frac{x^2+2x+1}{x^2+2x-3}$$ is undefined.

I am not sure how to solve this without using the tedious process of trial and error. Thanks.

Mar 27, 2018

#1
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The expression can be written as $$\frac{(x+1)^2}{(x-1)(x+3)}$$    which is undefined when the denominator is zero.

This occurs when x = 1 and x = -3, so the product is -3.

.

Mar 28, 2018