Answer:
Following are the true statements
2. The factors common to 20a and 15ab are 1, 5, and a.
3. The factors common to 20a and 24b are 1, 2, and 4.
5. The GCF of the expression is 1
Step-by-step explanation:
Expression is 20a + 15ab + 24b
Now lets have a look at each of the options provided!
1. The factors common to 20a and 15ab are 1, 5, a, and b.
False
As you can see there is no b in 20a term only 1,5,a are common hence it is false.
2. The factors common to 20a and 15ab are 1, 5, and a.
True
The terms 20a and 15ab are divisible by 1,5,a hence it is true.
3. The factors common to 20a and 24b are 1, 2, and 4.
True
The terms 20a and 24b are divisible by 1,2,4 hence it is true
4. The GCF of the expression is ab.
False
20a + 15ab + 24b
As you can see ab is not common in all of the terms hence it cannot be greatest common factor
5. The GCF of the expression is 1
True
Factor of 20 are: 2,2,5,1
Factor of 15 are: 3,5,1
Factor of 24 are: 2,2,2,3,1
As you can see the only common factor among all the terms is 1 hence GCF is 1.
