Answer:
-14
Step-by-step explanation:
Given f(x) = 3x^3 -5x + k, and x-2 is a factor of f(x), then what is the value of k?
This is an interesting question, since I have to think I have ever seen a question like this asked before.
3x³ - 5x + k i'll try dividing by x-2 and adjust k so there is no remainder
3x² + 6x + 7
x-2 | 3x³ + 0x² - 5x + k
3x³ - 6x
6x² - 5x
6x² - 12x
7x + k
7x - 14
0 remainder is 0 if k = - 14
when I graphed 3x³ - 5x -14 and (x-2)(3x² +6x +7) the graphs were equivalent
