SOLUTION: Find all the integral values for k for which the trinomial can be factored? z^2+kx+12 r^2+kr+20

Question 20121: Find all the integral values for k for which the trinomial can be factored?
z^2+kx+12
r^2+kr+20
Answer by Earlsdon(6294) (Show Source): You can put this solution on YOUR website!
Try this: For
What are the integral factors of +12?

Now find the sum of each pair of factors:
1 + 12 = 13
2 + 6 = 8
3 + 4 = 7
(-1)+(-12) = -13
(-2)+(-6) = -8
(-3)+(-4) = -7
k can be: 13, 8, 7, -13, -8, or -7
Check:

You can use the same procedure for

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