document.write( "Question 297127: Find all values of k so that each trinomial can be factored as two binomials using integers:\r
\n" ); document.write( "\n" ); document.write( "2x^2 + 12x + k,k > 0\r
\n" ); document.write( "\n" ); document.write( "THANK YOU FOR ANY HELP! \n" ); document.write( "
Algebra.Com's Answer #214202 by ankor@dixie-net.com(22740)\"\" \"About 
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Find all values of k so that each trinomial can be factored as two binomials using integers:
\n" ); document.write( "2x^2 + 12x + k, k > 0
\n" ); document.write( ":
\n" ); document.write( "Pick two even integers whose sum is 12
\n" ); document.write( "10 and 2
\n" ); document.write( "Divide 10 by 2 = 5
\n" ); document.write( "two factors
\n" ); document.write( "(2x + 2)(x + 5) = 0
\n" ); document.write( "FOIL
\n" ); document.write( "2x^2 + 10x + 2x + 10 = 0
\n" ); document.write( "2x^2 + 12x + 10 = 0
\n" ); document.write( "k = 10
\n" ); document.write( ":
\n" ); document.write( "Do the same with 8, 4
\n" ); document.write( "factor
\n" ); document.write( "(2x+4)(x + 4) = 0
\n" ); document.write( "2x^2 + 8x + 4x + 16 = 0
\n" ); document.write( "2x^2 + 12x + 16 = 0
\n" ); document.write( "k = 16
\n" ); document.write( ":
\n" ); document.write( "do the same with 6, 6
\n" ); document.write( "(2x+6)(x+3) = 0
\n" ); document.write( "2x^2 + 6x + 6x + 18 = 0
\n" ); document.write( "2x^2 + 12x + 18 = 0
\n" ); document.write( "k = 18 \n" ); document.write( "
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