Question

select the correct answer from each drop - down menu. look at this expression, and complete the statements. 3x + 2(x + 2) + 4 in the first term, 3 is
in the second term, (x + 2) is
in the last term, 4 is

Explanation:

To solve this, we analyze the expression \( 3x + 2(x + 2) + 4 \) by recalling the definitions of coefficients, factors, and constants:

First Term (\( 3x \)):

In the term \( 3x \), the number \( 3 \) is a coefficient because it multiplies the variable \( x \). A coefficient is a numerical factor of a term with a variable.

Second Term (\( 2(x + 2) \)):

In the term \( 2(x + 2) \), the \( (x + 2) \) is a factor (specifically, a binomial factor) because it is multiplied by \( 2 \). A factor is a quantity that is multiplied by another quantity.

Last Term (\( 4 \)):

In the term \( 4 \), the \( 4 \) is a constant term (or simply a constant) because it has no variable and its value does not change.

Final Answers:

• In the first term, \( 3 \) is a \(\boldsymbol{\text{coefficient}}\).
• In the second term, \( (x + 2) \) is a \(\boldsymbol{\text{factor}}\).
• In the last term, \( 4 \) is a \(\boldsymbol{\text{constant (term)}}\).

Answer:

To solve this, we analyze the expression \( 3x + 2(x + 2) + 4 \) by recalling the definitions of coefficients, factors, and constants:

First Term (\( 3x \)):

In the term \( 3x \), the number \( 3 \) is a coefficient because it multiplies the variable \( x \). A coefficient is a numerical factor of a term with a variable.

Second Term (\( 2(x + 2) \)):

In the term \( 2(x + 2) \), the \( (x + 2) \) is a factor (specifically, a binomial factor) because it is multiplied by \( 2 \). A factor is a quantity that is multiplied by another quantity.

Last Term (\( 4 \)):

In the term \( 4 \), the \( 4 \) is a constant term (or simply a constant) because it has no variable and its value does not change.

Final Answers:

• In the first term, \( 3 \) is a \(\boldsymbol{\text{coefficient}}\).
• In the second term, \( (x + 2) \) is a \(\boldsymbol{\text{factor}}\).
• In the last term, \( 4 \) is a \(\boldsymbol{\text{constant (term)}}\).