SOLUTION: Hello, I need help with the following math problem: "What is the product of all constants {{{ k }}} such that the quadratic {{{ x^2+kx+15 }}} can be factored in the form {{{

Question 1044084: Hello,
I need help with the following math problem:
"What is the product of all constants such that the quadratic can be factored in the form , where and are integers?"
Thank you,
Nicole
Answer by robertb(5830) (Show Source): You can put this solution on YOUR website!
The only factorizations of with integer coefficients are
(x+1)(x+15),
(x+3)(x+5),
(x-1)(x-15), and
(x-3)(x-5).

The coefficient of x in each case is 16, 8, -16, and -8, respectively, and their product is .

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