document.write( "Question 57330: fractoring trinomials by grouping
\n" ); document.write( "60p^4+81p^3+27p^2 \n" ); document.write( "
Algebra.Com's Answer #39046 by Nate(3500)\"\" \"About 
You can put this solution on YOUR website!
60p^4 + 81p^3 + 27p^2
\n" ); document.write( "3p^2(20p^2 + 27p + 9)
\n" ); document.write( "3p^2(20p^2 + 27p + 9)
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Solved by pluggable solver: SOLVE quadratic equation with variable
Quadratic equation \"ap%5E2%2Bbp%2Bc=0\" (in our case \"20p%5E2%2B27p%2B9+=+0\") has the following solutons:
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\n" ); document.write( " \"p%5B12%5D+=+%28b%2B-sqrt%28+b%5E2-4ac+%29%29%2F2%5Ca\"
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\n" ); document.write( " For these solutions to exist, the discriminant \"b%5E2-4ac\" should not be a negative number.
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\n" ); document.write( " First, we need to compute the discriminant \"b%5E2-4ac\": \"b%5E2-4ac=%2827%29%5E2-4%2A20%2A9=9\".
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\n" ); document.write( " Discriminant d=9 is greater than zero. That means that there are two solutions: \"+x%5B12%5D+=+%28-27%2B-sqrt%28+9+%29%29%2F2%5Ca\".
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\n" ); document.write( " \"p%5B1%5D+=+%28-%2827%29%2Bsqrt%28+9+%29%29%2F2%5C20+=+-0.6\"
\n" ); document.write( " \"p%5B2%5D+=+%28-%2827%29-sqrt%28+9+%29%29%2F2%5C20+=+-0.75\"
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\n" ); document.write( " Quadratic expression \"20p%5E2%2B27p%2B9\" can be factored:
\n" ); document.write( " \"20p%5E2%2B27p%2B9+=+20%28p--0.6%29%2A%28p--0.75%29\"
\n" ); document.write( " Again, the answer is: -0.6, -0.75.\n" ); document.write( "Here's your graph:
\n" ); document.write( "\"graph%28+500%2C+500%2C+-10%2C+10%2C+-20%2C+20%2C+20%2Ax%5E2%2B27%2Ax%2B9+%29\"
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