Question

What is the degree of the polynomial 1/4y^7-5y^2+3y+8

Answer 1

7

Explanation:

The degree of a polynomial is the highest power of the variable in the polynomial. In the polynomial
`\bold{(1)/(4) y^7-5y^2+3y+8}`, the highest power of y is 7. Therefore, the degree of the polynomial is 7.

Here is a breakdown of the degrees of each term in the polynomial:

`\bold{(1)/(4) y^7: degree \:7 }\\\bold{-5y^2: degree \:2}\\\bold{3y: degree \:1}\\\bold{8: degree\: 0}}`

The degree of a polynomial is the highest degree of any term in the polynomial. In this case, the highest degree is 7, so the degree of the polynomial is 7.