How to find the degree of a polynomial - Algebra 1
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What is the degree of the polynomial?
What is the degree of the polynomial?
To find the degree of the polynomial, add up the exponents of each term and select the highest sum.
12x2y3: 2 + 3 = 5
6xy4z: 1 + 4 + 1 = 6
2xz: 1 + 1 = 2
The degree is therefore 6.
To find the degree of the polynomial, add up the exponents of each term and select the highest sum.
12x2y3: 2 + 3 = 5
6xy4z: 1 + 4 + 1 = 6
2xz: 1 + 1 = 2
The degree is therefore 6.
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What is the degree of the polynomial?
What is the degree of the polynomial?
The degree is the highest exponent value of the variables in the polynomial.
Here, the highest exponent is x5, so the degree is 5.
The degree is the highest exponent value of the variables in the polynomial.
Here, the highest exponent is x5, so the degree is 5.
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Give the degree of the polynomial.
Give the degree of the polynomial.
The degree of an individual term of a polynomial is the exponent of its variable; the exponents of the terms of this polynomial are, in order, 5, 4, 2, and 7.
The degree of the polynomial is the highest degree of any of the terms; in this case, it is 7.
The degree of an individual term of a polynomial is the exponent of its variable; the exponents of the terms of this polynomial are, in order, 5, 4, 2, and 7.
The degree of the polynomial is the highest degree of any of the terms; in this case, it is 7.
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Which of the following depicts a polynomial in standard form?
Which of the following depicts a polynomial in standard form?
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.
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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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:
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:
Expression 5 has the term 
, which violates the definition of a polynomial. The exponent must be a whole number.
Expression 5 has the term
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Simplify:
Simplify:
The given expression can be re-written as:
Cancel (2x - 5):
The given expression can be re-written as:
Cancel (2x - 5):
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What is the degree of the polynomial?
What is the degree of the polynomial?
To find the degree of the polynomial, you first have to identify each term \[term is for example 
\], so to find the degree of each term you add the exponents.
EX: 
- Degree of 3
Highest degree is 
To find the degree of the polynomial, you first have to identify each term \[term is for example
EX:
Highest degree is
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What is the degree of the 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 
term, which is the order of 7. The highest order is the degree of the polynomial.
The answer is 
.
The terms are not in order of their powers.
The highest power that can be seen is the
The answer is
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Find the degree of the polynomial: 
Find the degree of the polynomial:
The polynomial terms may only have variables raised to positive integer exponents. No square roots, fraction powers, and variables in the denominator are allowed.
The correct answer is:
The polynomial terms may only have variables raised to positive integer exponents. No square roots, fraction powers, and variables in the denominator are allowed.
The correct answer is:
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What is the degree of the following 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.
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.
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What is the degree of the following polynomial? 
What is the degree of the following polynomial?
The degree of the polynomial is the highest power in the polynomial.
The highest power given is the term: 
Therefore, the degree of the polynomial is 
.
The degree of the polynomial is the highest power in the polynomial.
The highest power given is the term:
Therefore, the degree of the polynomial is
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What is the degree of the following polynomial? 
What is the degree of the following polynomial?
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 
.
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
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What is the degree of following polynomial?
What is the degree of following polynomial?
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 
.
The degree of a polynomial with a single variable (in our case,
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What is the degree of the following 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 seven is the highest exponent above, it is also the degree of the polynomial.
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.
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What is the degree of the following 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 two is the highest exponent above, it is also the degree of the polynomial.
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.
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What is the degree of the following 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 a variable with no visible exponent is being raised to the power one), it is also the degree of the polynomial.
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.
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What is the degree of the following 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.
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.
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What is the degree of the following 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.
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.
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What is the degree of the following 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 two is the highest exponent above, it is also the degree of the polynomial.
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.
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What is the degree of the following polynomial?
What is the degree of the following polynomial?
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.
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.
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