Polynomial Operations

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Algebra › Polynomial Operations

Questions 1 - 10
1

What is the degree of the following polynomial?

Explanation

To find the degree of a polynomial, simply find the highest exponent in the expression. As seven is the highest exponent above, it is also the degree of the polynomial.

2

Find the degree of the following polynomial:

Explanation

This problem is asking us to solve for the degree of the polynomial. This merely means "what is the greatest exponent in the expression?" It's important to keep in mind that coefficients do not matter because they do not affect exponents.

In order to easily see what the greatest exponent is, it is best to rearrange the terms in descending order with respect to their exponents.

Now we can see that 5 is the greatest exponent. Therefore, the degree of the polynomial is 5.

3

What is the degree of the following polynomial?

Explanation

To find the degree of a polynomial, simply find the highest exponent in the expression. As eight is the highest exponent above, it is also the degree of the polynomial.

4

Which of these equations is a third-degree polynomial?

Explanation

The largest exponent on the correct answer and only the correct answer is 3.

5

Find the degree of the following polynomial:

Explanation

This problem is asking us to solve for the degree of the polynomial. This merely means "what is the greatest exponent in the expression?" It's important to keep in mind that coefficients do not matter because they do not affect exponents.

In order to easily see what the greatest exponent is, it is best to rearrange the terms in descending order with respect to their exponents.

Now we can see that 5 is the greatest exponent. Therefore, the degree of the polynomial is 5.

6

Find the degree of the following polynomial:

Explanation

Find the degree of the following polynomial:

To find the degree of a polynomial, we simply need to look at its highest exponent.

The degree will be equal to the highest exponent, which in this case, is 7

So, the correct answer is 7

7

What is the degree of the following polynomial?

Explanation

To find the degree of a polynomial, simply find the highest exponent in the expression. As six is the highest exponent above, it is also the degree of the polynomial.

8

What is the degree of the following polynomial?

Explanation

To find the degree of a polynomial, simply find the highest exponent in the expression. As seven is the highest exponent above, it is also the degree of the polynomial.

9

What is the degree of the following polynomial?

Explanation

To find the degree of a polynomial, simply find the highest exponent in the expression. As five is the highest exponent above, it is also the degree of the polynomial.

10

What is the degree of the following polynomial?

Explanation

To find the degree of a polynomial, simply find the highest exponent in the expression. As seven is the highest exponent above, it is also the degree of the polynomial.

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