document.write( "Question 165538: how do i factor a quadratic equation and apply the zero product rule to find the solution set? \n" ); document.write( "

Algebra.Com's Answer #122051 by Fombitz(32388) $\"\"$ $\"About$

You can put this solution on YOUR website!
Here's an example.
\n" ); document.write( " $\"x%5E2%2B3x%2B2=0\"$
\n" ); document.write( "You can factor the quadratic equation.
\n" ); document.write( " $\"%28x%2B2%29%28x%2B1%29=0\"$
\n" ); document.write( "Zero product rule says either the first factor or the second factor could equal zero so solve for both.
\n" ); document.write( ".
\n" ); document.write( ".
\n" ); document.write( ".
\n" ); document.write( "First factor:
\n" ); document.write( " $\"x%2B2=0\"$
\n" ); document.write( " $\"x=-2\"$
\n" ); document.write( "Second factor:
\n" ); document.write( " $\"x%2B1=0\"$
\n" ); document.write( " $\"x=-1\"$
\n" ); document.write( ".
\n" ); document.write( ".
\n" ); document.write( ".
\n" ); document.write( "The solution set (zeros) for the equation are x=-1,-2.
\n" ); document.write( "You can check the answers by plugging into the equation or you could graph the equation to verify.
\n" ); document.write( " $\"x%5E2%2B3x%2B2=0\"$
\n" ); document.write( " $\"%28-2%29%5E2%2B3%28-2%29%2B2=0\"$
\n" ); document.write( " $\"4-6%2B2=0\"$
\n" ); document.write( " $\"0=0\"$
\n" ); document.write( ".
\n" ); document.write( ".
\n" ); document.write( ".
\n" ); document.write( " $\"+graph%28+300%2C+300%2C+-3%2C+1%2C+-3%2C1%2C++x%5E2%2B3x%2B2%29+\"$ \n" ); document.write( "

\n" );