Algebra 1 : Variables
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Example Questions
Example Question #19 : How To Find The Degree Of A Polynomial
Find the degree of the following polynomial:
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
Example Question #21 : How To Find The Degree Of A Polynomial
Find the degree of the following polynomial:
Cannot be determined from the information provided
Find the degree of the following polynomial:
Finding the degree of a polynomial is simple, if you know what you are looking for. To find the degree of a polynomial, simply choose the highest exponent in the expression.
In this case, 89 is the largest exponent, making our degree, 89.
Example Question #22 : How To Find The Degree Of A Polynomial
What is the degree of the following polynomial?
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 #23 : How To Find The Degree Of A Polynomial
What is the degree of the following polynomial?
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 #24 : How To Find The Degree Of A Polynomial
What is the degree of the following polynomial?
To find the degree of a polynomial, simply find the highest exponent in the expression. As nine is the highest exponent above, it is also the degree of the polynomial.
Example Question #25 : How To Find The Degree Of A Polynomial
What is the degree of the following polynomial?
To find the degree of a polynomial, simply find the highest exponent in the expression. As one is the highest exponent above (remember that no exponent means that the variable is being raised to one), it is also the degree of the polynomial.
Example Question #26 : How To Find The Degree Of A Polynomial
Find the degree in the following polynomial:
To find the degree of a polynomial, you simply locate the variable with the largest exponent, and that exponent is the degree. So, in the polynomial
we see that the largest exponent is 
Example Question #26 : How To Find The Degree Of A Polynomial
Which of these equations is a third-degree polynomial?
The largest exponent on the correct answer and only the correct answer is 3.
Example Question #23 : How To Find The Degree Of A Polynomial
What is the degree of the resulting polynomial once the following expression has been expanded:
The degree of a polynomial is the highest degree that can be found in the expression when it has been expanded out into mononomial components. So first, we need to FOIL. Remember that multiplying exponents means you add them to find the resultant exponent of the new mononomial term:
First: 
Outer:
Inner:
Last:
Rewrite the entire expresson:
The highest degree is 
Example Question #29 : How To Find The Degree Of A Polynomial
Find the degree of the polynomial:
Finding the degree of a polynomial is simple - we merely need to see what the largest exponent in the expression is. This will determine the degree of the polynomial. We must keep in mind, however, that coefficients do not matter because they do not influence degree.
In this problem, the expression is 
Because the expression is written in descending order for the degree of x, we can quickly see that the largest exponent is 3. Therefore, the degree of this polynomial is 3.
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