You may either have:
the task: For what integral values of k can 4x^2 + kx - 3 be factored?
(4) (-3) = -12 Factors of 12= 1,12 2,6 and 3,4
So are the possible values for k = +11, +4 and +1 or all negative?
They should be positive right, because I am looking for k and the sign is positive in front of k.
Okay, I got that.
So, for what integral values of k can 4x^2 + kx + 3 be factored? (note +3, not -3 like in task 1).
I would like to know your answer, because I got an example for 4x^2 + kx + 3 in my book. There is nothing about that k is just an arbitrary integer and it may be either positive or negative.
For what integral values of can be factored?
(4) (-3) = -12 . . Factors of 12: (1,12), (2,6) and (3,4).
So are the possible values are: .
This is correct!
My approach . . .
We have: .
Quadratic Formula: .
To be factorable, the discriminant must be a square:
This occurs when: .