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What is the degree of the polynomial $3y^3x+2z^2$?
Given:
Given polynomial is $3y^3x+2z^2$.
To do:
We have to find the degree of the given polynomial.
Solution:
Degree of a polynomial:
A polynomial's degree is the highest or the greatest power of a variable in a polynomial equation.
To find the degree, identify the exponents on the variables in each term, and add them together to find the degree of each term.
In $3y^3x+2z^2$, the variable $x$ has a power of $1$, the variable $y$ has a power of $3$ and the variable $z$ has the power of $2$.
The degree of the term $3y^3x=3+1=4$
The degree of the term $2z^2=2$
$4>2$. Therefore, the degree of $3y^3x+2z^2$ is $4$.
Updated on: 10-Oct-2022
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