Question

Factors for 18c+16 can be expressed as:

A. 2(9c + 8)
B. 4(4.5c + 4)
C. 8(2.25c + 2)
D. 16(1.125c + 1)

Answer 1

To find the factors of 18c+16, we divide both terms by their greatest common factor, which is 2, resulting in the factorization 2(9c + 8), corresponding to option A.

Step-by-step explanation:

The student is asking for the factors of the expression 18c+16. To find the factors, we look for a common factor in both terms. Both 18c and 16 are divisible by 2, which is the greatest common factor.

Here's the factorization step-by-step:

1. Identify the greatest common factor of 18c and 16, which is 2.
2. Divide both terms by 2: 18c ÷ 2 = 9c and 16 ÷ 2 = 8.
3. Write the original expression as a product of the greatest common factor and the divided terms: 18c + 16 = 2(9c + 8).

So, the correct expression for the factors of 18c+16 is 2(9c + 8), which corresponds to option A.