Question

Look at this expression and complete the statements. 3x+2(x+2)+4

In the first term, 3 is a .a coefficient, a constant, an constant, or a variable.
In the second term, (x+2) is a .a coefficient, a constant, an constant, or a factor.
In the last term, 4 is a .a coefficient, a constant, an constant, or a variable.

a) coefficient, constant, constant
b) constant, factor, coefficient
c) variable, constant, constant
d) coefficient, constant, variable

Answer 1

In the expression 3x+2(x+2)+4, the number '3' is a coefficient, the term '(x+2)' is a factor, and the number '4' is a constant. Hence, the correct completion of the statements is option (a) coefficient, factor, constant.

Step-by-step explanation:

The expression given in the question is 3x+2(x+2)+4. To complete the statements, we need to identify the role of the numbers and symbols in the expression.

• The first term is 3x, where '3' is the coefficient multiplying the variable 'x'.
• The second term is 2(x+2), and here '2' is the coefficient while (x+2) is considered the factor. The entire term indicates multiplication of '2' with the expression inside the parenthesis.
• In the last term, which is simply 4, this number is a constant because it does not change with the value of the variable 'x'.

So, the correct answers for the completion of the statements are:
In the first term, 3 is a coefficient.
In the second term, (x+2) is a factor.
In the last term, 4 is a constant.

Therefore, the correct option is (a) coefficient, factor, constant.