Question

Use the expression 9(7 + 2x) 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

Step-by-step explanation:

Part A:

The two factors in 9(7+2x) are 9 and 7+2x

Part B:

First term: 9

Second term: 7+2x

Part C:

9(7+2x)

Open bracket

63+18x

The coefficient is 18x

Answer 2

A. The two factors are 9 and (7+2x).

B. In first factor, only one term and in second factor , two terms i.e. 7 and 2x are present.

C. The coefficient of the variable term is 18.

Algebraic expression:

Given expression is;

                         $9(7+2x)$

In given expression, there are two factors fist is 9 and second one is $(7+2x)$

In first factor, only one term and in second factor , two terms i.e. 7 and 2x are present.

To find the coefficient of variable term, we have to to expand given expression.

             $9(7+2x)=63+18x$

The coefficient of the variable term is 18.

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