Answer:
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Given
- Function f(x) = 3x² + kx + 4,
- Remainder of f(x) / (x - 4) is 68.
According to the remainder theorem, if we subtract 68 from the given trinomial it should be divisible by x - 4. In other words, one of zero's will be x = 4.
- f(x) = 3x² + kx + 4 - 68 = 3x² + kx - 64 = 0
When x = 4
- 3*4² + k*4 - 64 = 0
- 48 + 4k - 64 = 0
- 4k - 16 = 0
- 4k = 16
- k = 4
