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Find all positive values for k for which each of the following can be factored.

x^2+3x+kthe coefficent of the middle term is 3

did i do this right

This one I had no Idea where to start can some one please explain it to me

The second one cannot be factored with real numbers, the factors will be complex (real and imaginary).

The first is right, if you mean..
x^2+3x+k= (x+2)(x+1)
I am not certain of what you are doing. There are many more values of k what will work to get factors, in fact, and infinite number..
x^2+3x + 9/4 = (x+3/2)(x+ 3/2) and so on.

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