Final answer:
The zeros of the quadratic function g(x) = x² + 6x² - 3x - 54 are 3, -3, and -6.
Step-by-step explanation:
The zeros of a quadratic function are the values of x that make the function equal to zero. To find the zeros of the quadratic function g(x) = x² + 6x² - 3x - 54, we need to solve the equation g(x) = 0.
One way to solve this equation is by factoring. We can rewrite the equation as (x - 3)(x + 6) = 0.
Setting each factor equal to zero, we have x - 3 = 0 and x + 6 = 0. Solving for x gives us x = 3 and x = -6.
Therefore, the correct answer is OB. 3, -3, -6.
Learn more about Finding the zeros of a quadratic function