Option (d) is correct.
The greatest common factors of given terms
are 6s.
Step-by-step explanation:
Given : terms ![24s^3,12s^4\ \text{and} \ 18s](/tpl/images/0348/2879/b4274.png)
We have to find the greatest common factors of given terms ![24s^3,12s^4\ \text{and} \ 18s](/tpl/images/0348/2879/b4274.png)
Consider the given terms ![24s^3,12s^4\ \text{and} \ 18s](/tpl/images/0348/2879/b4274.png)
The greatest common factors is the highest factor that divides the each term.
So we have,
![24s^3=2\cdot 2\cdot 2\cdot 3\cdot s\cdot s\cdot s](/tpl/images/0348/2879/ccf38.png)
![12s^3=2\cdot 2\cdot 3\cdot s\cdot s\cdot s\cdot s](/tpl/images/0348/2879/7e3b1.png)
and ![18s=3\cdot 3\cdot 2\cdot s](/tpl/images/0348/2879/44561.png)
Taking common terms, we have,
6s common from each term.
So, The greatest common factors of given terms
are 6s.