Degree of a Term


 
 
Concept Explanation
 

Degree of a Term

Degree of Term: 

It is the sum of the exponents of all the variables in the term. The degree of a term is the sum of the exponents of the variables that appear in it, and thus is a non-negative integer.

For example, the polynomial {displaystyle 7x^{2}y^{3}+4x-9,} which can also be expressed as{displaystyle 7x^{2}y^{3}+4x^{1}y^{0}-9x^{0}y^{0},} has three terms.

The first term has a degree of 5 (the sum of the powers 2 and 3), the second term has a degree of 1, and the last term has a degree of 0. Therefore, the polynomial has a degree of 5, which is the highest degree of any term.

Illustration: Find the degree of each term of the expression

large 3x^2yz^3+4x^3y^2z^2+19xyz

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Sample Questions
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Question : 1

What is the degree of the expression: 3x+2y+4xy+6yz

Right Option : B
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Question : 2

What is the degree of the expression: 13x+112y+14xy+8yz

Right Option : B
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Question : 3

Identify the terms whose degree is four

2x^3y^2+2yz^3+-3x^2yz+ 14y^2z^2-11x^2z^3+12xyz

Right Option : C
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