Interpret parts of an expression - HiSET
Card 0 of 20
Identify the coefficients in the following formula:

Identify the coefficients in the following formula:
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Generally speaking, in an equation a coefficient is a constant by which a variable is multiplied. For example,
and
are coefficients in the following equation:

In our equation, the following numbers are coefficients:

Generally speaking, in an equation a coefficient is a constant by which a variable is multiplied. For example, and
are coefficients in the following equation:
In our equation, the following numbers are coefficients:
What is the coefficient of the second highest term in the expression:
?
What is the coefficient of the second highest term in the expression: ?
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Step 1: Rearrange the terms from highest power to lowest power.
We will get:
.
Step 2: We count the second term from starting from the left since it is the second highest term in the rearranged expression.
Step 3: Isolate the term.
The second term is 
Step 4: Find the coefficient. The coefficient of a term is considered as the number before any variables. In this case, the coefficient is
.
So, the answer is
.
Step 1: Rearrange the terms from highest power to lowest power.
We will get: .
Step 2: We count the second term from starting from the left since it is the second highest term in the rearranged expression.
Step 3: Isolate the term.
The second term is
Step 4: Find the coefficient. The coefficient of a term is considered as the number before any variables. In this case, the coefficient is .
So, the answer is .
Identify the terms in the following equation:

Identify the terms in the following equation:
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In an equation, a term is a single number or a variable. in our equation we have the following terms:

In an equation, a term is a single number or a variable. in our equation we have the following terms:
How many terms are in the following expression:
?
How many terms are in the following expression: ?
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Step 1: We need to separate and arrange the terms in the jumbled expression given to us in the question..
We will separate the terms by the exponent value.
For
, there is only one term: 
For
, there are no terms.
For
, there is two terms: 
For
, there are two terms: 
For
, there are two terms: 
For
, there is only one term: 
For
, there are two terms: 
For
, there are three terms: 
There are four constant terms: 
Step 2: We will now add up the coefficients in each designation of terms. This will give us the answer.

Step 1: We need to separate and arrange the terms in the jumbled expression given to us in the question..
We will separate the terms by the exponent value.
For , there is only one term:
For , there are no terms.
For , there is two terms:
For , there are two terms:
For , there are two terms:
For , there is only one term:
For , there are two terms:
For , there are three terms:
There are four constant terms:
Step 2: We will now add up the coefficients in each designation of terms. This will give us the answer.
Simplify the polynomial
.
How many terms does the simplified form have?
Simplify the polynomial
.
How many terms does the simplified form have?
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Arrange and combine like terms (those with the same variable) as follows:




Since each term now has a different exponent for the variable, no further combining is possible. The simplified form has four terms.
Arrange and combine like terms (those with the same variable) as follows:
Since each term now has a different exponent for the variable, no further combining is possible. The simplified form has four terms.
Simplify the polynomial
.
How many terms does the simplified form have?
Simplify the polynomial
.
How many terms does the simplified form have?
Tap to see back →
Arrange and combine like terms (those with the same variable) as follows:




Since each term now has a different exponent for the variable, no further combining is possible. The simplified form has four terms.
Arrange and combine like terms (those with the same variable) as follows:
Since each term now has a different exponent for the variable, no further combining is possible. The simplified form has four terms.
Identify the coefficients in the following formula:

Identify the coefficients in the following formula:
Tap to see back →
Generally speaking, in an equation a coefficient is a constant by which a variable is multiplied. For example,
and
are coefficients in the following equation:

In our equation, the following numbers are coefficients:

Generally speaking, in an equation a coefficient is a constant by which a variable is multiplied. For example, and
are coefficients in the following equation:
In our equation, the following numbers are coefficients:
What is the coefficient of the second highest term in the expression:
?
What is the coefficient of the second highest term in the expression: ?
Tap to see back →
Step 1: Rearrange the terms from highest power to lowest power.
We will get:
.
Step 2: We count the second term from starting from the left since it is the second highest term in the rearranged expression.
Step 3: Isolate the term.
The second term is 
Step 4: Find the coefficient. The coefficient of a term is considered as the number before any variables. In this case, the coefficient is
.
So, the answer is
.
Step 1: Rearrange the terms from highest power to lowest power.
We will get: .
Step 2: We count the second term from starting from the left since it is the second highest term in the rearranged expression.
Step 3: Isolate the term.
The second term is
Step 4: Find the coefficient. The coefficient of a term is considered as the number before any variables. In this case, the coefficient is .
So, the answer is .
Identify the terms in the following equation:

Identify the terms in the following equation:
Tap to see back →
In an equation, a term is a single number or a variable. in our equation we have the following terms:

In an equation, a term is a single number or a variable. in our equation we have the following terms:
How many terms are in the following expression:
?
How many terms are in the following expression: ?
Tap to see back →
Step 1: We need to separate and arrange the terms in the jumbled expression given to us in the question..
We will separate the terms by the exponent value.
For
, there is only one term: 
For
, there are no terms.
For
, there is two terms: 
For
, there are two terms: 
For
, there are two terms: 
For
, there is only one term: 
For
, there are two terms: 
For
, there are three terms: 
There are four constant terms: 
Step 2: We will now add up the coefficients in each designation of terms. This will give us the answer.

Step 1: We need to separate and arrange the terms in the jumbled expression given to us in the question..
We will separate the terms by the exponent value.
For , there is only one term:
For , there are no terms.
For , there is two terms:
For , there are two terms:
For , there are two terms:
For , there is only one term:
For , there are two terms:
For , there are three terms:
There are four constant terms:
Step 2: We will now add up the coefficients in each designation of terms. This will give us the answer.
Identify the coefficients in the following formula:

Identify the coefficients in the following formula:
Tap to see back →
Generally speaking, in an equation a coefficient is a constant by which a variable is multiplied. For example,
and
are coefficients in the following equation:

In our equation, the following numbers are coefficients:

Generally speaking, in an equation a coefficient is a constant by which a variable is multiplied. For example, and
are coefficients in the following equation:
In our equation, the following numbers are coefficients:
What is the coefficient of the second highest term in the expression:
?
What is the coefficient of the second highest term in the expression: ?
Tap to see back →
Step 1: Rearrange the terms from highest power to lowest power.
We will get:
.
Step 2: We count the second term from starting from the left since it is the second highest term in the rearranged expression.
Step 3: Isolate the term.
The second term is 
Step 4: Find the coefficient. The coefficient of a term is considered as the number before any variables. In this case, the coefficient is
.
So, the answer is
.
Step 1: Rearrange the terms from highest power to lowest power.
We will get: .
Step 2: We count the second term from starting from the left since it is the second highest term in the rearranged expression.
Step 3: Isolate the term.
The second term is
Step 4: Find the coefficient. The coefficient of a term is considered as the number before any variables. In this case, the coefficient is .
So, the answer is .
Identify the terms in the following equation:

Identify the terms in the following equation:
Tap to see back →
In an equation, a term is a single number or a variable. in our equation we have the following terms:

In an equation, a term is a single number or a variable. in our equation we have the following terms:
How many terms are in the following expression:
?
How many terms are in the following expression: ?
Tap to see back →
Step 1: We need to separate and arrange the terms in the jumbled expression given to us in the question..
We will separate the terms by the exponent value.
For
, there is only one term: 
For
, there are no terms.
For
, there is two terms: 
For
, there are two terms: 
For
, there are two terms: 
For
, there is only one term: 
For
, there are two terms: 
For
, there are three terms: 
There are four constant terms: 
Step 2: We will now add up the coefficients in each designation of terms. This will give us the answer.

Step 1: We need to separate and arrange the terms in the jumbled expression given to us in the question..
We will separate the terms by the exponent value.
For , there is only one term:
For , there are no terms.
For , there is two terms:
For , there are two terms:
For , there are two terms:
For , there is only one term:
For , there are two terms:
For , there are three terms:
There are four constant terms:
Step 2: We will now add up the coefficients in each designation of terms. This will give us the answer.
Simplify the polynomial
.
How many terms does the simplified form have?
Simplify the polynomial
.
How many terms does the simplified form have?
Tap to see back →
Arrange and combine like terms (those with the same variable) as follows:




Since each term now has a different exponent for the variable, no further combining is possible. The simplified form has four terms.
Arrange and combine like terms (those with the same variable) as follows:
Since each term now has a different exponent for the variable, no further combining is possible. The simplified form has four terms.
Identify the coefficients in the following formula:

Identify the coefficients in the following formula:
Tap to see back →
Generally speaking, in an equation a coefficient is a constant by which a variable is multiplied. For example,
and
are coefficients in the following equation:

In our equation, the following numbers are coefficients:

Generally speaking, in an equation a coefficient is a constant by which a variable is multiplied. For example, and
are coefficients in the following equation:
In our equation, the following numbers are coefficients:
What is the coefficient of the second highest term in the expression:
?
What is the coefficient of the second highest term in the expression: ?
Tap to see back →
Step 1: Rearrange the terms from highest power to lowest power.
We will get:
.
Step 2: We count the second term from starting from the left since it is the second highest term in the rearranged expression.
Step 3: Isolate the term.
The second term is 
Step 4: Find the coefficient. The coefficient of a term is considered as the number before any variables. In this case, the coefficient is
.
So, the answer is
.
Step 1: Rearrange the terms from highest power to lowest power.
We will get: .
Step 2: We count the second term from starting from the left since it is the second highest term in the rearranged expression.
Step 3: Isolate the term.
The second term is
Step 4: Find the coefficient. The coefficient of a term is considered as the number before any variables. In this case, the coefficient is .
So, the answer is .
Identify the terms in the following equation:

Identify the terms in the following equation:
Tap to see back →
In an equation, a term is a single number or a variable. in our equation we have the following terms:

In an equation, a term is a single number or a variable. in our equation we have the following terms:
How many terms are in the following expression:
?
How many terms are in the following expression: ?
Tap to see back →
Step 1: We need to separate and arrange the terms in the jumbled expression given to us in the question..
We will separate the terms by the exponent value.
For
, there is only one term: 
For
, there are no terms.
For
, there is two terms: 
For
, there are two terms: 
For
, there are two terms: 
For
, there is only one term: 
For
, there are two terms: 
For
, there are three terms: 
There are four constant terms: 
Step 2: We will now add up the coefficients in each designation of terms. This will give us the answer.

Step 1: We need to separate and arrange the terms in the jumbled expression given to us in the question..
We will separate the terms by the exponent value.
For , there is only one term:
For , there are no terms.
For , there is two terms:
For , there are two terms:
For , there are two terms:
For , there is only one term:
For , there are two terms:
For , there are three terms:
There are four constant terms:
Step 2: We will now add up the coefficients in each designation of terms. This will give us the answer.
Simplify the polynomial
.
How many terms does the simplified form have?
Simplify the polynomial
.
How many terms does the simplified form have?
Tap to see back →
Arrange and combine like terms (those with the same variable) as follows:




Since each term now has a different exponent for the variable, no further combining is possible. The simplified form has four terms.
Arrange and combine like terms (those with the same variable) as follows:
Since each term now has a different exponent for the variable, no further combining is possible. The simplified form has four terms.