document.write( "Question 233605: express 3x²+24x+1 in the form a(x+b)²+c
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Algebra.Com's Answer #172423 by nerdybill(7384) $\"\"$ $\"About$

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express 3x²+24x+1 in the form a(x+b)²+c
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\n" ); document.write( "We are basically trying to \"complete the square\":
\n" ); document.write( " $\"3x%5E2+%2B+24x+%2B+1\"$
\n" ); document.write( "Group the x terms:
\n" ); document.write( " $\"%283x%5E2+%2B+24x%29+%2B+1\"$
\n" ); document.write( "Factor so that the x^2 has no coefficient:
\n" ); document.write( " $\"3%28x%5E2+%2B+8x%29+%2B+1\"$
\n" ); document.write( "Now, you are looking for the term to complete square (1/2 'b' then square it):
\n" ); document.write( " $\"3%28x%5E2+%2B+8x+%2B+___+%29+%2B+1\"$
\n" ); document.write( " $\"3%28x%5E2+%2B+8x+%2B+16+%29+%2B+1+-+16\"$
\n" ); document.write( " $\"3%28x%5E2+%2B+8x+%2B+16+%29+-+15\"$
\n" ); document.write( " $\"3%28x%2B4%29%5E2+-+15\"$
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