Answer: 114
Step-by-step explanation:
If x-3 is a factor of 5x³ - 3x² + 2x - k, then x = 3 is a root of the polynomial. This means that when x = 3, the polynomial is equal to zero.
Substituting x = 3 into the polynomial, we get:
5(3)³ - 3(3)² + 2(3) - k = 0
Simplifying this expression, we get:
135 - 27 + 6 - k = 0
Solving for k, we get:
k = 135 - 27 + 6 = 114
Therefore, the value of k is 114.