# SOLUTION: Find all values of k so that each trinomial can be factored as two binomials using integers: 2x^2 + 12x + k,k > 0 THANK YOU FOR ANY HELP!

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 Question 297127: Find all values of k so that each trinomial can be factored as two binomials using integers: 2x^2 + 12x + k,k > 0 THANK YOU FOR ANY HELP!Answer by ankor@dixie-net.com(15656)   (Show Source): You can put this solution on YOUR website!Find all values of k so that each trinomial can be factored as two binomials using integers: 2x^2 + 12x + k, k > 0 : Pick two even integers whose sum is 12 10 and 2 Divide 10 by 2 = 5 two factors (2x + 2)(x + 5) = 0 FOIL 2x^2 + 10x + 2x + 10 = 0 2x^2 + 12x + 10 = 0 k = 10 : Do the same with 8, 4 factor (2x+4)(x + 4) = 0 2x^2 + 8x + 4x + 16 = 0 2x^2 + 12x + 16 = 0 k = 16 : do the same with 6, 6 (2x+6)(x+3) = 0 2x^2 + 6x + 6x + 18 = 0 2x^2 + 12x + 18 = 0 k = 18