Algebra 1 : Polynomial Operations
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Example Questions
Example Question #71 : 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 four is the highest exponent above (after expanding), 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?
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 #71 : How To Find The Degree Of A Polynomial
What is the degree of the following polynomial:
What is the degree of the following polynomial:
The degree of the overall polynomial is the highest degree of any individual polynomials. To find the highest degree, find the sum of the exponents of all the monomials:
4 is a constant with degree 0.
The highest degree was 7, therefore the polynomials has a degree of 7 as well.
Example Question #71 : How To Find The Degree Of A Polynomial
What is the degree of the polynomial
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 18 is the greatest exponent. Therefore, the degree of the polynomial is 18.
Example Question #71 : How To Find The Degree Of A Polynomial
A polynomial consists of one or more terms where each tem has a coefficient and one or more variables raised to a whole number exponent. A term with an exponent of 0 is a constant.
Identify the expression below that is not a polynomial:
2
4
1
3
5
5
Expression 5 has the term 
Example Question #72 : How To Find The Degree Of A Polynomial
What is the degree of the polynomial?
The terms are not in order of their powers.
The highest power that can be seen is the 
The answer is 
Example Question #72 : How To Find The Degree Of A Polynomial
Which of the following depicts a polynomial in standard form?
None of the other answers are correct.
A polynomial in standard form is written in descending order of the power. The highest power should be first, and the lowest power should be last.
The answer has the powers decreasing from four, to two, to one, to zero.
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