6. in the polynomials , find the degree and like terms : ( i) 5x² - 2x²y + y² + 6yx² h
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Answer:
The degree of the polynomial is 2.
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Step-by-step explanation:
We 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 xy+yz has two terms. The first one is xy and the second is yz.
xy has degree 2 (x has an exponent of 1, y also has 1, and 1+1=2)
yz has degree 2 (y has an exponent of 1, z also has 1, and 1+1=2)
Since the degree is same in both the terms that is 2, therefore, the degree of xy+yz is 2.
Hence, the degree of the algebraic expression xy+yz is 2.
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