Question

what are the leading coefficient and degree of the polynomial?
$20y^{3}-23y^{4}-10y + y^{5}$
leading coefficient:
degree:

Explanation:

Step1: Rearrange the polynomial by degree

First, we rearrange the polynomial \(20y^{3}-23y^{4}-10y + y^{5}\) in descending order of the exponents of \(y\). So we get \(y^{5}-23y^{4}+20y^{3}-10y\).

Step2: Identify the leading coefficient

The leading term is the term with the highest degree. Here, the leading term is \(y^{5}\), and the coefficient of the leading term (leading coefficient) is \(1\) (since \(y^{5}=1\times y^{5}\)).

Step3: Identify the degree

The degree of a polynomial is the highest power (exponent) of the variable in the polynomial. In the polynomial \(y^{5}-23y^{4}+20y^{3}-10y\), the highest exponent of \(y\) is \(5\), so the degree is \(5\).

Answer:

Leading coefficient: \(1\)
Degree: \(5\)