document.write( "Question 555661: FACTOR THE TRINOMIAL COMPLETELY: x^2 + x-2 = \n" ); document.write( "

Algebra.Com's Answer #361887 by josmiceli(19441) $\"\"$ $\"About$

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You can complete the square:
\n" ); document.write( " $\"+x%5E2+%2B+x+-+2+=+0+\"$
\n" ); document.write( " $\"+x%5E2+%2B+x+=+2+\"$
\n" ); document.write( "Take 1/2 of the coefficient of $\"x\"$ ,
\n" ); document.write( "square it, and add it to both sides
\n" ); document.write( " $\"+x%5E2+%2B+x+%2B+%28+1%2F2+%29%5E2+=+2+%2B+%28+1%2F2+%29%5E2+\"$
\n" ); document.write( " $\"+x%5E2+%2B+x+%2B+1%2F4+=+2+%2B+1%2F4+\"$
\n" ); document.write( " $\"+%28+x+%2B+1%2F2%29%5E2+=+9%2F4+\"$
\n" ); document.write( " $\"+x+%2B+1%2F2+=+3%2F2+\"$
\n" ); document.write( "(1) $\"+x+=+1+\"$
\n" ); document.write( "and, also
\n" ); document.write( " $\"+x+%2B+1%2F2+=+-3%2F2+\"$
\n" ); document.write( "(2) $\"+x+=+-2+\"$
\n" ); document.write( "Rewrite (1) and (2) as
\n" ); document.write( "(1) $\"+x+-+1+=+0+\"$
\n" ); document.write( "(2) $\"+x+%2B+2+=+0+\"$
\n" ); document.write( "The factors are:
\n" ); document.write( " $\"+%28+x+-+1+%29+%2A+%28+x+%2B+2+%29+=+x%5E2+%2B+x+-+2+\"$ \n" ); document.write( "

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