document.write( "Question 153674: To factor x^2-8x-20, we must find two numbers whose product is p and whose sum is q. p and q are:\r
\n" ); document.write( "\n" ); document.write( "1) p=-20, q=-8
\n" ); document.write( "2) p=10, q=-2
\n" ); document.write( "3) p=-10, q=-2
\n" ); document.write( "4) p=-10. q=2\r
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

Algebra.Com's Answer #113109 by Fombitz(32388) $\"\"$ $\"About$

You can put this solution on YOUR website!
$\"x%5E2-8x-20=%28x%2Bp%29%28x%2Bq%29=x%5E2%2B%28p%2Bq%29x%2Bpq\"$
\n" ); document.write( " $\"pq=-20\"$
\n" ); document.write( " $\"p%2Bq=-8\"$
\n" ); document.write( "Since pq is negative, either p or q must be negative.
\n" ); document.write( "Since p+q is negative, the larger factor is negative.
\n" ); document.write( "1 is not the solution, pq=160
\n" ); document.write( "2 is not the solution, p+q=8
\n" ); document.write( "3 is not the solution, pq=20
\n" ); document.write( "4 is the solution, pq=-20, p+q=-8\r
\n" ); document.write( "\n" ); document.write( "4)p=-10, q=2 \n" ); document.write( "

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