Factor out the greatest common factor. If the greatest common factor is 1 , just rety
polynomial.

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Factor out the greatest common factor. If the greatest common factor is 1 , just rety polynomial. $$ 16 z^{3}-12 z^{2} $$

UpStudy AI · Accepted Answer

To factor out the greatest common factor (GCF) from the polynomial $$ 16 z^{3} - 12 z^{2} $$:

1. **Identify the GCF of the coefficients:**
   - The coefficients are 16 and 12.
   - The GCF of 16 and 12 is **4**.

2. **Identify the GCF of the variable parts:**
   - The terms are $$ z^{3} $$ and $$ z^{2} $$.
   - The GCF of $$ z^{3} $$ and $$ z^{2} $$ is $$ z^{2} $$.

3. **Factor out the GCF:**
   $$
   16 z^{3} - 12 z^{2} = 4 z^{2} (4 z - 3)
   $$

**Final Factored Form:**
$$
4 z^{2} (4 z - 3)
$$
The polynomial $$ 16 z^{3} - 12 z^{2} $$ factored by the greatest common factor is $$ 4 z^{2} (4 z - 3) $$.

Factor out the greatest common factor. If the greatest common factor is 1 , just rety
polynomial.

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