document.write( "Question 1149522: For the polynomial below, 3 is a zero.\r
\n" ); document.write( "\n" ); document.write( "g(x)=x^3-2x^2-5x+6\r
\n" ); document.write( "\n" ); document.write( "express g(x) as a product of linear factors \n" ); document.write( "

Algebra.Com's Answer #770859 by ikleyn(52803) $\"\"$ $\"About$

You can put this solution on YOUR website!
.
\n" ); document.write( "

\r\n" );
document.write( "\r\n" );
document.write( "Divide the given polynomial by the binomial (x-3)  //(long division).\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "You will get the quotient as the quadratic polynomial.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "Then find the roots of this quadratic.  \r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "If these roots are real numbers, then it will give you the desired decomposition of the given polynomial into the product of linear binomials.\r\n" );
document.write( "

\r
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

\n" );