Determine which consecutive integers do not have real zeros between them.

x^3+4x^2+3x-1

A (-3,-2)

B (-2,-1)

C (-1,0)

D (0,1)

The answer is option c (-1,0)

Solving the equation you get that the zeros of this are approximately

x ≈ - 2.8019

x ≈ - 1.4450

x ≈ 0.24698

Then the function has three real roots, but none of them is within the range (-1,0)

Below is a graph of the function.