The correct option is (d) -120
The explanation is: According to factor theorem, x-a is a factor of p(x) if p(a) = 0.
Here, it is given that x-3 is a factor of 5x^3-2x^2+x+k.
Therefore, p(3) must be equal to zero.
p(3) = 5(3)^3-2(3)^2+3+k = 0
Therefore, 5(27) – 2(9) + 3 + k = 0
135 – 18 + 3 + k=0
120 + k = 0
Therefore, k= -120