document.write( "Question 1031517: Use synthetic division to show that g(x) is a factor of f(x), and complete the factorization of f(x).
\n" ); document.write( "g(x) = x − 1, f(x) = x3 − 6x2 − 9x + 14\r
\n" ); document.write( "\n" ); document.write( "Please help me solve. Thank you.
\n" ); document.write( "

Algebra.Com's Answer #646225 by josgarithmetic(39617)\"\" \"About 
You can put this solution on YOUR website!
\r\n" );
document.write( "1    |    1    -6    -9    14\r\n" );
document.write( "     |\r\n" );
document.write( "     |         1     -5    -14\r\n" );
document.write( "     |_____________________________________\r\n" );
document.write( "         1    -5     -14    0
and notice the remainder is 0.\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "No need to use synthetic division again unless you really want; because you can factorize \"x%5E2-5x-14\" just looking for the combination that works. \r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"f%28x%29=x%5E2-5x-14=highlight%28%28x%2B2%29%28x-7%29%29\".
\n" ); document.write( "
\n" );