document.write( "Question 136723: Write a quadratic equation having solutions square root 3 and -4 square root 3. \n" ); document.write( "

Algebra.Com's Answer #100101 by solver91311(24713) $\"\"$ $\"About$

You can put this solution on YOUR website!
A quadratic equation of the form $\"ax%5E2%2Bbx%2Bc=0\"$ has a root $\"a\"$ if and only if $\"x-z\"$ is a factor of the polynomial $\"ax%5E2%2Bbx%2Bc\"$ .\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Your roots are $\"sqrt%283%29\"$ and $\"-4sqrt%283%29\"$ , so the factors of the polynomial must be $\"x-sqrt%283%29\"$ and $\"x-%28-4sqrt%283%29%29=x%2B4sqrt%283%29\"$ . Multiply these two factors together using FOIL and set the resultant polynomial equal to zero.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

\n" );