Algebra 1 : How to find the degree of a polynomial

Study concepts, example questions & explanations for Algebra 1

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Example Questions

Example Question #11 : How To Find The Degree Of A Polynomial

What is the degree of the following polynomial?  

Possible Answers:

Correct answer:

Explanation:

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

Example Question #12 : How To Find The Degree Of A Polynomial

What is the degree of the following polynomial?  

Possible Answers:

Correct answer:

Explanation:

To find the degree of a polynomial, simply find the highest exponent in the expression.  As one is the highest exponent above (remember a variable with no visible exponent is being raised to the power one), it is also the degree of the polynomial.

Example Question #13 : How To Find The Degree Of A Polynomial

What is the degree of the following polynomial?

Possible Answers:

Correct answer:

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.

Example Question #14 : How To Find The Degree Of A Polynomial

What is the degree of the following polynomial?

Possible Answers:

Correct answer:

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.

Example Question #15 : How To Find The Degree Of A Polynomial

What is the degree of the following polynomial?  

Possible Answers:

Correct answer:

Explanation:

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

Example Question #16 : How To Find The Degree Of A Polynomial

What is the degree of the following polynomial?  

Possible Answers:

Correct answer:

Explanation:

To find the degree of a polynomial, simply find the highest exponent in the expression.  At a glance, it appears that two is the highest exponent, however, because the whole polynomial is being squared, the highest exponent (and the exponent of all variables above) is actually four.

Example Question #17 : How To Find The Degree Of A Polynomial

What is the degree of the following polynomial?  

Possible Answers:

Correct answer:

Explanation:

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

Example Question #18 : How To Find The Degree Of A Polynomial

Find the degree of the following polynomial:

Possible Answers:

Correct answer:

Explanation:

To find the degree of a polynomial, simply locate the largest exponent. 

 

 

In this case, the largest exponent is .  

Therefore, the degree of the polynomial is .

 

Example Question #18 : How To Find The Degree Of A Polynomial

Find the degree of polynomial .

Possible Answers:

Correct answer:

Explanation:

Find the degree of polynomial g(x)

The degree of a polynomial is the value of the highest exponent in the polynomial.

The highest power any of our terms is being raised to is 9. Notice that it has nothing todo with the numbers in front of the x's, but rather the number they are being raised to.

So, our answer is 9.

Example Question #19 : How To Find The Degree Of A Polynomial

Find the degree of the following polynomial:

Possible Answers:

Correct answer:

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

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