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Question

# Find the degree of the given algebraic expression. 2y2z+9yzâˆ’7zâˆ’11x2y2

A
2
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B
3
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C
4
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D
5
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Solution

## The correct option is B 4We know that the degree is the term with the greatest exponent and,To find the degree of a monomial with more than one variable for the same term, just add the exponents for each variable to get the degree.The given algebraic expression 2y2z+9yz−7z−11x2y2 has four terms. The first one is 2y2z, the second is 9yz, the third one is −7z and the fourth term is −11x2y2.2y2z has degree 3 (y has an exponent of 2, z has 1, and 2+1=3)9yz has degree 2 (y has an exponent of 1, z also has 1, and 1+1=2)7z has degree 1 (z has an exponent of 1)11x2y2 has degree 4 (x has an exponent of 2, y also has 2, and 2+2=4)Since the highest degree amongst all the terms is 4, therefore, the degree of 2y2z+9yz−7z−11x2y2 is 4.Hence, the degree of the algebraic expression 2y2z+9yz−7z−11x2y2 is 4.

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