document.write( "Question 484553: Factor completely.\r
\n" ); document.write( "\n" ); document.write( " $\"+7x%5E3-4x%5E2-8x+\"$ \r
\n" ); document.write( "\n" ); document.write( "**So far I have factored an x out of all terms\r
\n" ); document.write( "\n" ); document.write( " $\"+x%287x%5E2-4x-8%29+\"$ \r
\n" ); document.write( "\n" ); document.write( "I am not sure how to factor the rest \n" ); document.write( "

Algebra.Com's Answer #331542 by jorel1380(3719) $\"\"$ $\"About$

You can put this solution on YOUR website!
x(7x^2-4x-8)=
\n" ); document.write( "\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "\n" ); document.write( "

Solved by pluggable solver: SOLVE quadratic equation with variable

Quadratic equation $\"ax%5E2%2Bbx%2Bc=0\"$ (in our case $\"7x%5E2%2B-4x%2B-8+=+0\"$ ) has the following solutons:
\n" ); document.write( "
\n" ); document.write( " $\"x%5B12%5D+=+%28b%2B-sqrt%28+b%5E2-4ac+%29%29%2F2%5Ca\"$
\n" ); document.write( "
\n" ); document.write( " For these solutions to exist, the discriminant $\"b%5E2-4ac\"$ should not be a negative number.
\n" ); document.write( "
\n" ); document.write( " First, we need to compute the discriminant $\"b%5E2-4ac\"$ : $\"b%5E2-4ac=%28-4%29%5E2-4%2A7%2A-8=240\"$ .
\n" ); document.write( "
\n" ); document.write( " Discriminant d=240 is greater than zero. That means that there are two solutions: $\"+x%5B12%5D+=+%28--4%2B-sqrt%28+240+%29%29%2F2%5Ca\"$ .
\n" ); document.write( "
\n" ); document.write( " $\"x%5B1%5D+=+%28-%28-4%29%2Bsqrt%28+240+%29%29%2F2%5C7+=+1.39228095605926\"$
\n" ); document.write( " $\"x%5B2%5D+=+%28-%28-4%29-sqrt%28+240+%29%29%2F2%5C7+=+-0.820852384630691\"$
\n" ); document.write( "
\n" ); document.write( " Quadratic expression $\"7x%5E2%2B-4x%2B-8\"$ can be factored:
\n" ); document.write( " $\"7x%5E2%2B-4x%2B-8+=+7%28x-1.39228095605926%29%2A%28x--0.820852384630691%29\"$
\n" ); document.write( " Again, the answer is: 1.39228095605926, -0.820852384630691.\n" ); document.write( "Here's your graph:
\n" ); document.write( " $\"graph%28+500%2C+500%2C+-10%2C+10%2C+-20%2C+20%2C+7%2Ax%5E2%2B-4%2Ax%2B-8+%29\"$

\n" ); document.write( "\n" ); document.write( "So the answer is 1.39228095605926(x) or -0.820852384630691(x) \n" ); document.write( "

\n" );