Question

What are the degree and leading coefficient of the polynomial?

-7+8y+y^3+y^6

Answer 1

Polynomial of degree 6

Leading coefficient: 1

Explanation:

1. By definition, the degree of a polynomial is the greatest exponent of the monomials, and the leading coefficient is the number in front of the variable that has the greatest exponent.

2. Then, as you can see, the greatest exponent of the polynomial
`-7+8y+y^(3)+y^(6)` is 6. Therefore, it is a polynomial of degree 6.

3. The term that has the greatest exponents is
`y^(6)` and the number is front of it is 1. Therefore, the leading coefficient is 1.