
Integral values
Hey guys,
the task: For what integral values of k can 4x^2 + kx  3 be factored?
My answer:
(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.

Re: Integral values
You may either have:
or
or
or

Re: Integral values
I think it should be
(2x1) (2x+3) or (2x+3)(2x1)
or
(4x1)(x+3) or (4x3)(x+1)
because
(2x+1)(2x3) = 4x^2 4x3 (in that case the value k would be negative) It should be 4x^2 + kx 3 (positive).

Re: Integral values
I missed a pair:
or
is just an arbitrary integer, it may either be positive or negative.

Re: Integral values
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.

Re: Integral values
When it is said "for what integral values of " this implies that can be negative or positive, since the integers are {...2,1,0,1,2,...}.
The possibilities here are:
so
so
so
so
so
so

Re: Integral values
I hate thiss..
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Re: Integral values
Hello, ford2008!
My approach . . .
We have: .
Quadratic Formula: .
To be factorable, the discriminant must be a square:
. .
This occurs when: .