document.write( "Question 881196: list all values for which expression is undefined x+3/x^2+3x-28? \n" ); document.write( "

Algebra.Com's Answer #532027 by jim_thompson5910(35256) $\"\"$ $\"About$

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I'm assuming the rational expression is $\"%28x%2B3%29%2F%28x%5E2%2B3x-28%29\"$ \r
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\n" ); document.write( "\n" ); document.write( "The rational expression is undefined when the denominator is zero.\r
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\n" ); document.write( "\n" ); document.write( "To find the values that make it undefined, set the denominator equal to zero and solve\r
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\n" ); document.write( "\n" ); document.write( "x^2+3x-28 = 0\r
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\n" ); document.write( "\n" ); document.write( "(x+7)(x-4) = 0\r
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\n" ); document.write( "\n" ); document.write( "x+7 = 0 or x-4 = 0\r
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\n" ); document.write( "\n" ); document.write( "x = -7 or x = 4\r
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\n" ); document.write( "\n" ); document.write( "The rational expression is undefined when x = -7 or x = 4 since these values cause the denominator to be zero leading to a division by zero error. \n" ); document.write( "

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