document.write( "Question 30320: What do I do here? 2xsquared+17x+21 Thank you \n" ); document.write( "

Algebra.Com's Answer #16976 by Earlsdon(6294) $\"\"$ $\"About$

You can put this solution on YOUR website!
Well...what would you like to do here?
\n" ); document.write( "You can't solve this since the there is no equation!
\n" ); document.write( "The only thing you can do is to factor this expression, so let's do that!\r
\n" ); document.write( "\n" ); document.write( "Factor the expression:
\n" ); document.write( " $\"2x%5E2%2B17x%2B21\"$ \r
\n" ); document.write( "\n" ); document.write( "Start with $\"%282x+%2B+m%29%28x+%2B+n%29\"$ Now you need to have m and n such that:
\n" ); document.write( "(m)(n) = 21 and 2m+n = 17 or m+2n = 17
\n" ); document.write( "Try m =3 and n = 7\r
\n" ); document.write( "\n" ); document.write( "(3)(7) = 21 OK
\n" ); document.write( "2(3)+7 = 6 + 7 = 13 No good.
\n" ); document.write( "3 + 2(7) = 3 + 14 = 17 OK\r
\n" ); document.write( "\n" ); document.write( " $\"2x%5E2%2B17x%2B21+=+%282x%2B3%29%28x%2B7%29\"$ That'll do it. \n" ); document.write( "

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