Given f(x) = 3x^3 -5x + k, and x-2 is a factor of f(x), then what is the value of k?

-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

6 spoons of sugar for every 21 cups of flour

step-by-step explanation:

step-by-step explanation:

there are 36 inches in a yard

25 : 36 = 0.69 yards (you can round to 0.70)