1. The problem asks us to find the value of the function $f(x) = 3x^3 + 7x^2 + 5x$ at $x = -3$. 2. To find $f(-3)$, substitute $-3$ into the function: $$f(-3) = 3(-3)^3 + 7(-3)^2 + 5(-3)$$ 3. Calculate each term: - $(-3)^3 = -27$ - $(-3)^2 = 9$ 4. Substitute these values back: $$f(-3) = 3(-27) + 7(9) + 5(-3)$$ 5. Multiply: $$f(-3) = -81 + 63 - 15$$ 6. Combine the terms step-by-step: $$-81 + 63 = -18$$ $$-18 - 15 = -33$$ 7. Therefore, the value of $f(-3)$ is: $$f(-3) = -33$$ The correct answer is B.