Answer:
A. GCF of both is 27
B. By adding 9 and 18 to the set, the GCF of the four numbers become 9
Step-by-step explanation:
A. The GCF of 27 and 54 is 27
GCF represents greatest common factor. It means the highest number which is both a factor of 27 and also a factor of 54. The highest number in this case is 27.
The factors of 27 are ;
1, 3 , 9 , 27
for 54
1,2,3,6,9,18,27 and 54
So we can clearly see that the highest factor in both case is 27
B. Now , we want to add two numbers that will make the GCF to be 9
What about adding 9 and 18?
Let’s have a look;
using the multiples of each;
9 - 1, 3 and 9
18 - 1, 2, 3 , 6 , 9 and 18
27- 1, 3 , 9 and 27
54- 1, 2, 3 , 6, 9, 18, 27 and 54
We can clearly see here that the highest factor that takes all four numbers into consideration is the number 9
. It is a third degree polynomial with a leading coefficient of -2.