document.write( "Question 423861: What is the fundamental difference between even roots and odd roots? \n" ); document.write( "

Algebra.Com's Answer #295659 by MathLover1(20850) $\"\"$ $\"About$

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\n" ); document.write( "\n" ); document.write( "Recall that x-intercepts are another name for the roots or zeroes of a polynomial. \r
\n" ); document.write( "\n" ); document.write( "generally a root is termed \" even \" if it is a root an even number of times...similarly for \" odd \"\r
\n" ); document.write( "\n" ); document.write( " $\"f%28x%29+=+%28+x%2B+5%29%5E4+%28+x+-6%29+%5E3\"$ has $\"-5\"$ as an even root and $\"6\"$ as an odd root\r
\n" ); document.write( "\n" ); document.write( "at \"even \" roots the graph touches but does not cross the domain axis...\" odd \" implies crossing\r
\n" ); document.write( "\n" ); document.write( "or\r
\n" ); document.write( "\n" ); document.write( "If a root has an $\"even\"$ multiplicity, the graph will $\"bounce\"$ $\"+off\"$ the axis, as with the graph of $\"y=x%5E2\"$ . If a root has an $\"odd+\"$ multiplicity, the graph will $\"pass\"$ $\"+through\"$ the axis, as with the graph of $\"y=x%5E3\"$ .\r
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