Algebra 1 : Algebra 1

Study concepts, example questions & explanations for Algebra 1

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Example Questions

Example Question #8 : How To Find The Degree Of A Polynomial

What is the degree of following polynomial?

Possible Answers:

Correct answer:

Explanation:

The degree of a polynomial with a single variable (in our case, ), simply find the largest exponent of that variable within the expression. The term  shows  being raised to the seventh power, and no other  in this expression is raised to anything larger than seven. Therefore, the degree of this expression is .

Example Question #1 : How To Find The Degree Of A Polynomial

What is the degree of the following polynomial?  

Possible Answers:

Correct answer:

Explanation:

The polynomial has more than one variable. The degree of the polynomial is the largest sum of the exponents of ALL variables in a term.

The first term is .

The degree of this term is 

The second term is .

The degree of this term is .

The degree of the polynomial is the largest of these two values, or .

Example Question #1 : 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 #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 #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 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.

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