Answer:
b could be -1 or 0
Step-by-step explanation:
f(x) = 3x^2 +bx+2
if it has no real roots, the discriminant must be less than zero
b^2 -4ac <0
a=3 b=b c=2
b^2 - 4(3)(2) <0
b^2 - 24 <0
b^2 < 24
Taking the square root of each side
b< 2 sqrt(6) and b > 2 sqrt(6)
b could be -1 or 0