document.write( "Question 1180559: Write an equation of the polynomial, in standard form, with roots 3,-5,2 that also pass through the point (4,54). \n" ); document.write( "
Algebra.Com's Answer #810275 by MathLover1(20850)\"\" \"About 
You can put this solution on YOUR website!
to write an equation of the polynomial, in standard form, with roots \"x%5B1%5D=3\",\"x%5B2%5D=-5\",\"x%5B3%5D=2\" that also pass through the point(\"x\",\"y\")= (\"4\",\"54\"), use zero product property formula\r
\n" ); document.write( "\n" ); document.write( "\"y=a%28x-x%5B1%5D%29%28x-x%5B2%5D%29%28x-x%5B3%5D%29\".....substitute given zeros and point\r
\n" ); document.write( "\n" ); document.write( "\"54=a%284-3%29%284-%28-5%29%29%284-2%29\"\r
\n" ); document.write( "\n" ); document.write( "\"54=a%281%29%289%29%282%29\"\r
\n" ); document.write( "\n" ); document.write( "\"54=18a\"\r
\n" ); document.write( "\n" ); document.write( "\"54%2F18=a\"\r
\n" ); document.write( "\n" ); document.write( "\"a=3\"\r
\n" ); document.write( "\n" ); document.write( "now go back to\r
\n" ); document.write( "\n" ); document.write( "\"y=3%28x-3%29%28x%2B5%29%28x-2%29\"\r
\n" ); document.write( "\n" ); document.write( "\"y=3x%5E3-57x%2B90\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "
\n" ); document.write( "
\n" );