document.write( "Question 1050811: Find a polynomial function with the zeros -6,0,3,2 whose graph passes through the point (1/2, 585) \n" ); document.write( "

Algebra.Com's Answer #666476 by Zucchini(70) $\"\"$ $\"About$

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zeros: -6,0,3,2\r
\n" ); document.write( "\n" ); document.write( "linear factors: x(x+6)(x-3)(x-2)\r
\n" ); document.write( "\n" ); document.write( "Point: ( $\"1%2F2\"$ , 585)\r
\n" ); document.write( "\n" ); document.write( "f(x)= ax(x+6)(x-3)(x-2)
\n" ); document.write( "(the a is there because we don't know if there will be a vertical stretch or shrink)\r
\n" ); document.write( "\n" ); document.write( "Plug in what you know:\r
\n" ); document.write( "\n" ); document.write( "585= a $\"1%2F2\"$ ( $\"1%2F2\"$ +6)( $\"1%2F2\"$ -3)( $\"1%2F2\"$ -2)
\n" ); document.write( "585= a $\"1%2F2\"$ (6.5)(-2.5)(-1.5)
\n" ); document.write( "585= a 12.1875
\n" ); document.write( "48= a\r
\n" ); document.write( "\n" ); document.write( "Polynomial function: f(x) = 48x(x+6)(x-3)(x-2)\r
\n" ); document.write( "\n" ); document.write( "If your teacher prefers you to multiply it out, I'm sure you can take it from here. \n" ); document.write( "

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