Terms

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Questions 1 - 3

1

Identify the terms in the following equation:

All of these

Explanation

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

$x,\ y,\ z,\ \textup{and }7$

2

How many terms are in the following expression: $20x^4-11x^4-32x^3+4x-11x\+30x-44+55-23+38-10x^2+24x^2\-11x^5+30x^6+27x^5-21x^6+x^8$ ?

None of the Above

Explanation

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.

3

Simplify the polynomial

$4y^{2}+ 4y^{4}- 3y^{2} + y^{3}+ 4y^{2}-6y$ .

How many terms does the simplified form have?

Four

Three

Five

Six

Two

Explanation

Arrange and combine like terms (those with the same variable) as follows:

$4y^{2}+ 4y^{4}- 3y^{2} + y^{3}+ 4y^{2}-6y$

$= 4y^{4}+ y^{3} + 4y^{2}- 3y^{2} + 4y^{2}-6y$

$= 4y^{4}+ y^{3} +( 4-3+4 )y^{2} -6y$

$= 4y^{4}+ y^{3} +5y^{2} -6y$

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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