Asked by Hanu
Factor 3x^2-16X+K and find the value of K.
Answers
Answered by
Steve
There are lots of solutions.
After all, (3x-a)(x-b) = 3x^2 - (a+3b)x + ab
so, we need
a +3b = 16
or a=16-3b
(16-3b)b = K
So, pick a b, and you can find an a to fit.
b=0: x(3x-16) = 3x^2 - 16x + 0
b=2: (x-2)(3x-10) = 3x^2 - 16x + 20
b=5: (x-5)(3x-1) = 3x^2 - 16x + 5
After all, (3x-a)(x-b) = 3x^2 - (a+3b)x + ab
so, we need
a +3b = 16
or a=16-3b
(16-3b)b = K
So, pick a b, and you can find an a to fit.
b=0: x(3x-16) = 3x^2 - 16x + 0
b=2: (x-2)(3x-10) = 3x^2 - 16x + 20
b=5: (x-5)(3x-1) = 3x^2 - 16x + 5
There are no AI answers yet. The ability to request AI answers is coming soon!