document.write( "Question 465717: For the polynomial below, list each real zero and its multiplicity. Please be sure to show all of your work.
\n" ); document.write( "f(x) = 4(x+3)(x-1)ł \n" ); document.write( "

Algebra.Com's Answer #319982 by lwsshak3(11628) $\"\"$ $\"About$

You can put this solution on YOUR website!
For the polynomial below, list each real zero and its multiplicity. Please be sure to show all of your work.
\n" ); document.write( "f(x) = 4(x+3)(x-1)ł
\n" ); document.write( "4(x+3)(x-1)^3=0
\n" ); document.write( "4(x+3)(x-1)(x-1)(x-1)=0\r
\n" ); document.write( "\n" ); document.write( "x+3=0
\n" ); document.write( "x=-3
\n" ); document.write( "or
\n" ); document.write( "x-1=0
\n" ); document.write( "x=1 (multiplicity 3)
\n" ); document.write( "see graph as a visual check on the answers
\n" ); document.write( "note: when a curve flattens out where one of the zeros are, they are multiple roots.
\n" ); document.write( "..\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " $\"+graph%28+300%2C+300%2C+-4%2C+4%2C+-100%2C+10%2C4%28x%2B3%29%28x-1%29%5E3%29+\"$ \n" ); document.write( "

\n" );