document.write( "Question 924080: Write the quadratic equation whose roots are −4 and 3, and whose leading coefficient is 5. \n" ); document.write( "
Algebra.Com's Answer #560575 by Theo(13342)\"\" \"About 
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if the roots are x = -4 and 3, then the factors are (x+4) and (x-3)
\n" ); document.write( "your equation is (x+4)(x-3) = 0
\n" ); document.write( "multiply these factors out to get:
\n" ); document.write( "x^2 -3x + 4x - 12 = 0 which simplifies to:
\n" ); document.write( "x^2 + x - 12 = 0
\n" ); document.write( "multiply both sides of this equation by 5 to get:
\n" ); document.write( "5x^2 + 5x - 60 = 0
\n" ); document.write( "that's your equation.
\n" ); document.write( "the graph of that equation is shown below:
\n" ); document.write( "\"graph%28600%2C600%2C-10%2C10%2C-70%2C70%2C5x%5E2+%2B+5x+-+60%29\"
\n" ); document.write( "the equation that this was derived from has the same roots as shown below:
\n" ); document.write( "\"graph%28600%2C600%2C-10%2C10%2C-70%2C70%2Cx%5E2+%2B+1x+-+12%29\"
\n" ); document.write( "that's the graph of x^2 + x - 12 = 0\r
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