Factorize `9z^3-27 z^2-100 z+300 ,` if it is given that `(3z+10)` is a factor of it.

Explanation

To factorize the polynomial \( 9z^3 - 27z^2 - 100z + 300 \) given that \( (3z + 10) \) is a factor, we will follow these steps:

### Step 1: Set up the polynomial and the factor
Let \( f(z) = 9z^3 - 27z^2 - 100z + 300 \). We know that \( (3z + 10) \) is a factor of \( f(z) \).

### Step 2: Perform polynomial long division
We will divide \( f(z) \) by \( (3z + 10) \).

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