Question

PLEASE HELP Use the expression 9(7 + 2 times x) to answer the following: Part A: Describe the two factors in this expression. (4 points) Part B: How many terms are in each factor of this expression? (4 points) Part C: What is the coefficient of the variable term? (2 points)

Answer 1

Part A:
The two factors of this expression are 9 and 7+2x. The first factor is a constant consisting of only one element. The second factor is a binomial which means it is consisted of two elements or terms.

Part B:
As already described above, the first factor only has 1 term and the second, being a binomial, has two terms. 

Part C:
The term which is linked to the variable is 2x. This means that the numerical coefficient of the variable term is 2. 

Moreover if we try to simplify the factors by distribution, we get,
   63 + 18x
This will then tell us that the coefficient of the variable term is 18.