document.write( "Question 779163: Write in the form $\"%28x%2Bp%29%5E2%2Bq\"$
\n" ); document.write( "a) $\"x%5E2%2B6x\"$
\n" ); document.write( "b) $\"x%5E2-8x%2B5\"$ \r
\n" ); document.write( "\n" ); document.write( "Thank you so much! \n" ); document.write( "

Algebra.Com's Answer #475095 by josgarithmetic(39620) $\"\"$ $\"About$

You can put this solution on YOUR website!
Your goal is to turn each item into a binomial square plus a number. This is an exercise in completing-the-square. In the reference form you show, the fully multiplied form of it is $\"x%5E2%2B2px%2Bp%5E2%2Bq\"$ , and if you'll examine very carefully, see the added term is $\"p%5E2\"$ , which is based on 2p. \r
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\n" ); document.write( "\n" ); document.write( "Identify the coefficient on the x term. Multiply by $\"%281%2F2%29\"$ and then square this. THIS is the term which you will ADD and SUBTRACT upon the expression.
\n" ); document.write( "Notice again, the square term is 2px, and the coefficient is 2p, so the term to add and subtract is $\"%282p%2F2%29%5E2=p%5E2\"$ \r
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\n" ); document.write( "\n" ); document.write( "(a)
\n" ); document.write( "The term to use is $\"%286%2F2%29%5E2\"$ , which you will both ADD and SUBTRACT. The added part will be used to form you square trinomial which you will factor.\r
\n" ); document.write( "\n" ); document.write( "(b)
\n" ); document.write( "The term to use is $\"%28-8%2F2%29%5E2\"$ \n" ); document.write( "

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