document.write( "Question 674302: Can someone walk me through the steps for the following problem? Thank you!\r
\n" ); document.write( "\n" ); document.write( "144-25t+t^2\r
\n" ); document.write( "\n" ); document.write( "1. Factor completely.
\n" ); document.write( "2. Remember to look first for a common factor.
\n" ); document.write( "3. Check by multiplying.
\n" ); document.write( "4. If a polynomial is prime, state this. \n" ); document.write( "

Algebra.Com's Answer #419186 by solver91311(24713) $\"\"$ $\"About$

You can put this solution on YOUR website!
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\n" ); document.write( "\n" ); document.write( "Ok, Scruffy, go get your leash and collar and we'll take a walk.\r
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\n" ); document.write( "\n" ); document.write( "Put your trinomial in standard form:\r
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\r
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\n" ); document.write( "\n" ); document.write( "We are looking for two factors of the form

and

such that

, and

. We get to use coefficients of 1 on the

terms because the lead coefficient in the given trinomial is 1.\r
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\n" ); document.write( "\n" ); document.write( "In order for the sum to be negative and the product to be positive, both of the

and

values must be negative.\r
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\n" ); document.write( "\n" ); document.write( "So what are the possible integer factors of 144?
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\r\n" );
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document.write( "   -1    -144  :  -1 X -144 = 144, but -1 + -144 = -145 ≠ -25\r\n" );
document.write( "   -2     -72  :  -2 X  -72 = 144, but -2 + -72 = -74 ≠ -25\r\n" );
document.write( "   -3     -48  :\r\n" );
document.write( "   -4     -36  :\r\n" );
document.write( "   -6     -24  :\r\n" );
document.write( "   -8     -18  :\r\n" );
document.write( "   -9     -16  :\r\n" );
document.write( "  -12     -12  :\r\n" );
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\r
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\n" ); document.write( "\n" ); document.write( "You fill in the rest of the table above and determine whether an appropriate pair of integers exists. If it does, that is your solution, if not, the polynomial is prime. \r
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\n" ); document.write( "\n" ); document.write( "John
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\n" ); document.write( "My calculator said it, I believe it, that settles it
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$\"The$

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