document.write( "Question 141051This question is from textbook Algebra 1
\n" ); document.write( ": how do you factor this polynomial x^2+14x+24 \n" ); document.write( "

Algebra.Com's Answer #102709 by vleith(2983) $\"\"$ $\"About$

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Given: $\"x%5E2%2B14x%2B24\"$ \r
\n" ); document.write( "\n" ); document.write( "The coefficient on x^2 is 1. So, in order to factor this equation, you need to find the factors of 24 that when added together, result in a sum of 14. What are the factors of 24?
\n" ); document.write( "1,24
\n" ); document.write( "2,12
\n" ); document.write( "3,8
\n" ); document.write( "4,6\r
\n" ); document.write( "\n" ); document.write( "What are the sums of those pairs of numbers?
\n" ); document.write( "25,
\n" ); document.write( "14
\n" ); document.write( "11
\n" ); document.write( "10\r
\n" ); document.write( "\n" ); document.write( "So the factors we want are 2,12\r
\n" ); document.write( "\n" ); document.write( " $\"x%5E2%2B14x%2B24\"$
\n" ); document.write( " $\"%28x+%2B+12%29%28x+%2B+2%29\"$ \n" ); document.write( "

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