document.write( "Question 250391: \"220y%2B60y%5E2-225\"
\n" ); document.write( "Factor completely. show steps. if polynomial is prime, state this.\r
\n" ); document.write( "\n" ); document.write( "I tried to do this but i don't understand how its done. My first attempt I thought it was prime but my teacher said it was wrong and it could be factored. Could you please help?
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Algebra.Com's Answer #182313 by Alan3354(69443)\"\" \"About 
You can put this solution on YOUR website!
\"220y%2B60y%5E2-225\"
\n" ); document.write( "The factor of 5 is fairly obvious.
\n" ); document.write( "= \"5%2A%2844y%2B12y%5E2-45%29\"
\n" ); document.write( "Put it in descending order
\n" ); document.write( "= \"5%2A%2812y%5E2+%2B+44y+-+45%29\"
\n" ); document.write( "Now it gets harder. Since the -45 is negative, the 2 signs are different.
\n" ); document.write( "12 can be 1*12, 2*6 or 3*4
\n" ); document.write( "45 can be 1*45, 3*15 or 5*9
\n" ); document.write( "It's a trial and error thing to find a combination that gives +44y
\n" ); document.write( "(3y + ??)*(4y + ??)
\n" ); document.write( "(3y + 5)*(4y - 9) no good
\n" ); document.write( "(3y + 3)*(4y - 15) no good
\n" ); document.write( "(3y + 1)*(4y - 45) no good
\n" ); document.write( "(2y + 5)*(6y - 9) no good
\n" ); document.write( "(2y + 9)*(6y - 5) works
\n" ); document.write( "--> 5(2y+9)*(6y-5)
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\n" ); document.write( "Do you know the quadratic equation? That's a better way to do these.
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