Home > ACC6 > Chapter 7 Unit 7 > Lesson CC1: 7.3.3 > Problem7-107

7-107.

Identify the terms, coefficients, constant terms, and factors in each expression below.

1. $3x^2 + (−4x) + 1$

Refer to the vocabulary from the Math Notes box in Lesson 7.3.3 below.

1. $3(2x − 1) + 2$

Terms: $3(2x − 1)$ and $2$
Coefficients: $3$ and $2$
Constant term: $2$
Factors: $3$ and $(2x −1)$

Term: Parts of the expression separated by addition and subtraction.
For example, in the expression above, the three terms are $2x$$3\left(5-2x\right)$, and $8$.
The expression $5-2x$ has two terms, $5$ and $2x$.

Coefficient: The number that a variable is multiplied by. In the example above, $2$ is the coefficient of $2x$.
In the expression $7x-15x^2$, both $7$ and $15$ are coefficients.

Constant: A number that is not multiplied by a variable. In the example, $8$ is a constant.
$3$ is not a constant because it is multiplied by a variable inside the parentheses.

Factor: Part of a multiplication expression. In the example, $2$ and $x$ are factors.
So are $3$ and $5-2x$.