document.write( "Question 962637: \"Write a quadratic function whose roots are 3 and -6.\"
\n" );
document.write( "We are doing the Zero Product Property. I need help because I don't know how to make a function based on roots. \n" );
document.write( "
Algebra.Com's Answer #588167 by Theo(13342)![]() ![]() You can put this solution on YOUR website! you create a function from the roots as follows:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "x = 3 is one of the roots. \n" ); document.write( "x = 3 is an equation. \n" ); document.write( "you want to convert the equation so that 0 is one one side of it. \n" ); document.write( "you do that by subtracting 3 from both sides of the equation to get: \n" ); document.write( "x - 3 = 0 \n" ); document.write( "(x-3) is one of your factors.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "x = -6 is one of the roots. \n" ); document.write( "x = -6 is an equation. \n" ); document.write( "you want to convert the equation so that 0 is on one side of it. \n" ); document.write( "you do that by adding 6 to both sides of the equation to get: \n" ); document.write( "x + 6 = 0 \n" ); document.write( "(x+6) is the other one of your factors.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "you multiply the factors together to get the function. \n" ); document.write( "(x-3) * (x+6) = x^2 + 6x - 3x - 18 \n" ); document.write( "your function is x^2 + 3x - 18.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |