Asked by cuc
for what integral value(s) of K can the trinomial x^2 + kx +12 be factored?
my English is limited, I not sure what the question is asking, can everyone help me?
Thank You!
my English is limited, I not sure what the question is asking, can everyone help me?
Thank You!
Answers
Answered by
Reiny
integral values are integer numbers, so k cannot be a fraction
possible factors that end in +12:
(x+1)(x+12)
(x-1)(x-12)
(x+2)(x+6)
(x-2)(x-6)--> x^2 <b>- 8x</b> + 12 , so k = -8
(x+3)(x+4)
(x-3)(x-4)
I expanded one of them, to show one value of k
You do the others
possible factors that end in +12:
(x+1)(x+12)
(x-1)(x-12)
(x+2)(x+6)
(x-2)(x-6)--> x^2 <b>- 8x</b> + 12 , so k = -8
(x+3)(x+4)
(x-3)(x-4)
I expanded one of them, to show one value of k
You do the others