document.write( "Question 47747: factor the algebraic expressions completely.\r
\n" ); document.write( "\n" ); document.write( "x^2 – 16x + 63 \n" ); document.write( "

Algebra.Com's Answer #31550 by Earlsdon(6294) $\"\"$ $\"About$

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Factor completely:
\n" ); document.write( " $\"x%5E2-16x%2B63\"$ \r
\n" ); document.write( "\n" ); document.write( "If this expression can be factored, the factors will have the form:
\n" ); document.write( " $\"%28x+%2B+m%29%28x+%2B+n%29\"$ where: $\"m%2An+=+63\"$ and $\"m+%2B+n+=+-16%29\"$
\n" ); document.write( "Make a list of the possibilities:
\n" ); document.write( "Since the sum is negative and the product is positive, both m and n must be negative.\r
\n" ); document.write( "\n" ); document.write( "Try: m=-3 and n=-21
\n" ); document.write( "m+n = -24 and m*n = 63 No good!\r
\n" ); document.write( "\n" ); document.write( "Try: m=-9 and m=-7
\n" ); document.write( "m+n = -16 and m*n = 63 This will work!\r
\n" ); document.write( "\n" ); document.write( " $\"x%5E2-16x%2B63+=+%28x-9%29%28x-7%29\"$ \n" ); document.write( "

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