document.write( "Question 1130883: The graph of a quadratic function has x-intercepts -10 and 2. Write a quadratic equation in standard form that has these roots.\r
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Algebra.Com's Answer #747500 by ikleyn(52781)![]() ![]() You can put this solution on YOUR website! . \n" ); document.write( "f(x) = a*(x-(-10))*(x-2) = a*(x+10)*(x-2) = a*(x^2 +8x - 20) = ax^2 + 8ax -20a, (*)\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "where a is an arbitrary real number.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "It is the most general standard form of such a function.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "If you want to have an equation, equate (*) to zero:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "ax^2 + 8ax - 20a = 0.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |