Question 4

We need to find the number multiplying the variable $z$ in the given polynomial.

Step 1 — Understand the polynomial

Let's look at the given polynomial. The polynomial is $4z^3 + 5z^2 - 11$. A polynomial has different terms. Each term has a variable part and a number part. The number part is called the coefficient.

Step 2 — Find the coefficient of z

We are looking for the term with $z$ raised to the power of 1. This term would look like $az$, where $a$ is the coefficient. In our polynomial, we see $4z^3$. We also see $5z^2$. The last term is a constant, -11. There is no term that contains just $z$. This means the term $0 \cdot z$ is present. So, the coefficient of $z$ is 0.

$\boxed{0}$

Answer

The coefficient of $z$ in the polynomial $4z^3 + 5z^2 - 11$ is 0.