document.write( "Question 184884: Please solve: Find the zeros of f(x)=(x+3)^2(x-5)^6 and state the multiplicity. \n" ); document.write( "
Algebra.Com's Answer #138753 by HyperBrain(694)\"\" \"About 
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f(x)=(x+3)2(x-5)6\r
\n" ); document.write( "\n" ); document.write( "Step 1: set f(x) to zero.\r
\n" ); document.write( "\n" ); document.write( ":: f(x)=(x+3)2(x-5)6=0\r
\n" ); document.write( "\n" ); document.write( "Note: if ab=0, then a=0 or b=0\r
\n" ); document.write( "\n" ); document.write( "Step 2: Solve (x+3)2=0\r
\n" ); document.write( "\n" ); document.write( ":: (x+3)2=0
\n" ); document.write( ":: x+3=0
\n" ); document.write( ":: x=-3\r
\n" ); document.write( "\n" ); document.write( "Step 3: Solve (x-5)6\r
\n" ); document.write( "\n" ); document.write( ":: (x-5)6=0
\n" ); document.write( ":: x-5=0
\n" ); document.write( ":: x=5\r
\n" ); document.write( "\n" ); document.write( "The roots are -3 of multiplicity 2 and 5 of multiplicity 5.\r
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