Question

what are the leading coefficient and degree of the polynomial?
( -y^{8} - 7y + 20 - 8y^{2} )
leading coefficient:
degree:

Explanation:

Step1: Identify the polynomial terms

First, we rewrite the polynomial in standard form (descending order of exponents). The given polynomial is \(-y^{8}-7y + 20 - 8y^{2}\). Rewriting it in standard form: \(-y^{8}-8y^{2}-7y + 20\).

Step2: Find the leading coefficient

The leading term is the term with the highest degree. Here, the leading term is \(-y^{8}\). The coefficient of the leading term is the leading coefficient. For \(-y^{8}\), the coefficient is \(-1\) (since \(-y^{8}=-1\times y^{8}\)).

Step3: Find the degree

The degree of a polynomial is the highest power (exponent) of the variable in the polynomial. In the polynomial \(-y^{8}-8y^{2}-7y + 20\), the highest exponent of \(y\) is \(8\), so the degree is \(8\).

Answer:

Leading coefficient: \(-1\)
Degree: \(8\)