document.write( "Question 1029267: If the quadratic 3x^2+bx+10 can be written in the form a(x+m)^2+n, where m and n are integers, what is the largest integer that must be a divisor of b? \n" ); document.write( "

Algebra.Com's Answer #644330 by stanbon(75887) $\"\"$ $\"About$

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If the quadratic 3x^2+bx+10 can be written in the form a(x+m)^2+n, where m and n are integers, what is the largest integer that must be a divisor of b?
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\n" ); document.write( "3x^2 + bx.....+10
\n" ); document.write( "3(x^2 + (b/3)x + (b/6)^2) + [10 - 3(b/6)^2]
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\n" ); document.write( "n must be a integer:
\n" ); document.write( "So, 10-(3(b^2/36)) = 10-(b^2/12)
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\n" ); document.write( " b^2 must be a multiple of 12
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\n" ); document.write( " etc.
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\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
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