document.write( "Question 189180: find all of the zeros of the polynomial function and state the multiplicity of each. f(x) = (x^2-9)^2\r
\n" ); document.write( "\n" ); document.write( "I don't really understand this. \n" ); document.write( "

Algebra.Com's Answer #141918 by josmiceli(19441) $\"\"$ $\"About$

You can put this solution on YOUR website!
If your equation has the form
\n" ); document.write( " $\"f%28x%29+=+%28x+-+z%5B1%5D%29%28x+-+z%5B2%5D%29%28x+-+z%5B3%5D%29\"$ etc.
\n" ); document.write( "then $\"z%5B1%5D\"$ , $\"z%5B2%5D\"$ , $\"z%5B3%5D\"$ etc. are the zeroes
\n" ); document.write( "The multiplicity is the number of times a zero is repeated,
\n" ); document.write( "for instance:
\n" ); document.write( " $\"f%28x%29+=+%28x+-+z%5B1%5D%29%5E3%28x+-+z%5B2%5D%29%28x+-+z%5B3%5D%29\"$ etc.
\n" ); document.write( "Zero $\"z%5B1%5D\"$ has a multiplicity of $\"3\"$ , since it's
\n" ); document.write( "repeated $\"3\"$ times
\n" ); document.write( "In your equation:
\n" ); document.write( " $\"f%28x%29+=+%28x%5E2-9%29%5E2\"$ , I can factor it some more:
\n" ); document.write( " $\"f%28x%29+=+%28%28x+%2B+3%29%28x+-+3%29%29%5E2\"$
\n" ); document.write( " $\"f%28x%29+=+%28x+%2B+3%29%28x+%2B+3%29%28x+-+3%29%28x+-+3%29\"$
\n" ); document.write( " $\"f%28x%29+=+%28x+%2B+3%29%5E2%28x+-+3%29%5E2\"$
\n" ); document.write( "The zeroes are $\"x+=+-3\"$ multiplicity of $\"2\"$
\n" ); document.write( "and $\"x+=+3\"$ multiplicity of $\"2\"$ also\r
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