Find the degree of the polynomial. 4r^{2}s^{4}-5r^{2}s^{6}

idiopatia0f

idiopatia0f

Answered question

2021-12-13

Find the degree of the polynomial.
4r2s45r2s6

Answer & Explanation

Kayla Kline

Kayla Kline

Beginner2021-12-14Added 37 answers

Step 1: Introduction
Degree of polynomial is the degree of the highest degree term that has non-zero coefficient.
While, Degree of a term is the sum of the powers on the variables in that term.
Step 2 : Analysis
In the given Polynomial,
4r2s45r2s6
Here, degree of term 4r2s4 is 2+4=6
and degree of term 5r2s6 is 2+6=8 (highest degree)
As, 8 is greater than 6.
Thus, Degree of polynomial 4r2s45r2 is 8.

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