document.write( "Question 1157889: P(x) = x^3 + 2x^2 − 14x − 40
\n" ); document.write( "Factor the polynomial as a product of linear factors with complex coefficients.
\n" ); document.write( "

Algebra.Com's Answer #780801 by MathLover1(20849)\"\" \"About 
You can put this solution on YOUR website!
\"P%28x%29+=+x%5E3+%2B+2x%5E2+-14x-40\"\r
\n" ); document.write( "\n" ); document.write( "\"P%28x%29+=+%28x+-4%29+%28x%5E2+%2B+6x+%2B+10%29\"........use quadratic formula to find complex roots\r
\n" ); document.write( "\n" ); document.write( "=> \"x+=+-3+-i\" and \"x+=+-3+%2B+i\"\r
\n" ); document.write( "\n" ); document.write( "=> root product: \"%28x+-%28+-3+-+i%29%29\"=>\"%28x+-%28+-%283+%2B+i%29%29%29\"=>\"%28x+%2B%283+%2B+i%29%29\"
\n" ); document.write( "and \"%28x+-%28+-3%2B+i%29%29\"=>\"%28x+-%28+-%283+-+i%29%29%29\"=>\"%28x+%2B%283+-i%29%29\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"P%28x%29+=%28x+-+4%29%28x+%2B+%283+-+i%29%29+%28x+%2B+%283+%2B+i%29%29\"\r
\n" ); document.write( "\n" ); document.write( "
\n" ); document.write( "
\n" );