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Termine the degree of the polynomial. -4p^(8)qr^(8)+8pq^(8)r^(2)-p^(5)q^(7)r

User Siraj
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1 Answer

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Final Answer:

The degree of the polynomial -4p^8qr^8 + 8pq^8r^2 - p^5q^7r is 13.

Step-by-step explanation:

Navigating the complexities of polynomial expressions, this answer unravels the degree of the polynomial -4p^8qr^8 + 8pq^8r^2 - p^5q^7r. The degree, a crucial metric in understanding the polynomial's intricacy, is determined by identifying the highest power among its constituent terms. Through a meticulous analysis of each term's power, we pinpoint the overarching degree, shedding light on the mathematical essence of this algebraic expression within the realm of polynomials.

The degree of a polynomial is determined by finding the highest power of any variable in the expression.

Analyze each term in the given polynomial:

Term 1: -4p^8qr^8 has a degree of 8.

Term 2: 8pq^8r^2 has a degree of 10 (8 + 2).

Term 3: -p^5q^7r has a degree of 13 (5 + 7 + 1).

The highest degree among the terms is 13.

Therefore, the degree of the entire polynomial is 13.

User Elya
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