Interpret parts of an expression - HiSet: High School Equivalency Test: Math

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Question

Identify the coefficients in the following formula:

Answer

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:

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Question

What is the coefficient of the second highest term in the expression: ?

Answer

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 .

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Question

Identify the terms in the following equation:

Answer

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

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Question

How many terms are in the following expression: ?

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.

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Question

Simplify the polynomial

.

How many terms does the simplified form have?

Answer

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.

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