Algebra 1 : Polynomial Operations

Study concepts, example questions & explanations for Algebra 1

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Example Questions

Example Question #61 : 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 six is the highest exponent above, it is also the degree of the polynomial.

Example Question #62 : 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 #63 : How To Find The Degree Of A Polynomial

Possible Answers:

Correct answer:

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.

 

Example Question #64 : 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 three is the highest exponent above, it is also the degree of the polynomial.

Example Question #61 : 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 seven is the highest exponent above, it is also the degree of the polynomial.

Example Question #62 : How To Find The Degree Of A Polynomial

Find the degree of 

Possible Answers:

Correct answer:

Explanation:

The degree of a polynomial is the largest exponent on the variable among all its terms. Here,  has the largest exponent.

Example Question #197 : Polynomial Operations

Find the degree: 

Possible Answers:

Correct answer:

Explanation:

The degree of a polynomial is the largest exponent on the variable among all its terms. Here, we are given a factored form, when we need to compare terms in the simplified form (ie multiplied out).

You could multiply everything out, but that is not the most efficient thing. Simply recognize that the highest power will be obtained when multiplying the highest degree terms in each factor: .

Example Question #198 : Polynomial Operations

What is the degree of the following polynomial?  

Possible Answers:

Correct answer:

Explanation:

Add the exponents of the variables for each term to find the degree of that term.

The highest degree is three.

The answer is:  

Example Question #199 : Polynomial Operations

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 three is the highest exponent above, it is also the degree of the polynomial.

Example Question #71 : 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 three is the highest exponent above (after expanding), it is also the degree of the polynomial.

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