document.write( "Question 50552: How do you factor 3x^3-30x-15x^2? Could you please show and explain
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Algebra.Com's Answer #33679 by Nate(3500)\"\" \"About 
You can put this solution on YOUR website!
3x^3 - 15x^2 - 30x
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Solved by pluggable solver: SOLVE quadratic equation with variable
Quadratic equation \"ax%5E2%2Bbx%2Bc=0\" (in our case \"3x%5E2%2B-15x%2B-30+=+0\") has the following solutons:
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\n" ); document.write( " \"x%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=%28-15%29%5E2-4%2A3%2A-30=585\".
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\n" ); document.write( " Discriminant d=585 is greater than zero. That means that there are two solutions: \"+x%5B12%5D+=+%28--15%2B-sqrt%28+585+%29%29%2F2%5Ca\".
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\n" ); document.write( " \"x%5B1%5D+=+%28-%28-15%29%2Bsqrt%28+585+%29%29%2F2%5C3+=+6.53112887414927\"
\n" ); document.write( " \"x%5B2%5D+=+%28-%28-15%29-sqrt%28+585+%29%29%2F2%5C3+=+-1.53112887414927\"
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\n" ); document.write( " Quadratic expression \"3x%5E2%2B-15x%2B-30\" can be factored:
\n" ); document.write( " \"3x%5E2%2B-15x%2B-30+=+3%28x-6.53112887414927%29%2A%28x--1.53112887414927%29\"
\n" ); document.write( " Again, the answer is: 6.53112887414927, -1.53112887414927.\n" ); document.write( "Here's your graph:
\n" ); document.write( "\"graph%28+500%2C+500%2C+-10%2C+10%2C+-20%2C+20%2C+3%2Ax%5E2%2B-15%2Ax%2B-30+%29\"
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