Answer: The degree of the given polynomial is 3.
Step-by-step explanation: We are given to find the degree of the following polynomial :
[tex]P(y)=\dfrac{5}{7}y^3+5y^2+y+1.[/tex]
We know that
The degree of a polynomial is the highest of the degrees of its individual terms with non-zero coefficients.
In the given polynomial, the highest power of the unknown variable y is 3 in the term [tex]\dfrac{5}{7}y^3.[/tex]
Thus, the required degree of the given polynomial is 3.
