document.write( "Question 29752: how do you find a missing term that will make a trinomial a perfect square trinomial? \n" ); document.write( "

Algebra.Com's Answer #16473 by Cintchr(481) $\"\"$ $\"About$

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taking an expression such as ....\r
\n" ); document.write( "\n" ); document.write( " $\"+x%5E2+%2B+8x++++++=+y+\"$
\n" ); document.write( "the leading coefficient (the # by the x^2) must be 1
\n" ); document.write( "use the formula
\n" ); document.write( " $\"+%28b%2F2%29%5E2+\"$
\n" ); document.write( " $\"+%288%2F2%29%5E2+\"$
\n" ); document.write( " $\"+4%5E2+\"$
\n" ); document.write( " $\"+16+\"$
\n" ); document.write( " so the last term is 16
\n" ); document.write( "to check ...
\n" ); document.write( " $\"+x%5E2+%2B+8x++++++=+y+\"$ plug in 16
\n" ); document.write( " $\"+x%5E2+%2B+8x+%2B+16+=+y+\"$ factor
\n" ); document.write( " $\"+%28x%2B4%29%28X%2B4%29+=+y+\"$
\n" ); document.write( " $\"+%28x%2B4%29%5E2+=+y+\"$
\n" ); document.write( "since 4^2=16 and 4+4=8 it is right. \r
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