Question

Categorize the polynomial as a monomial. a binomial. or a trinomial. Then identrythe leading coefficient and degree of the polynomial.

Answer 1

Okay, here we have this:

Considering the provided polynomial, we are going to clasify it, so we obtain the following:

Since it has three terms with the variable raised to different exponents, then it means that it is a trinomial.

Leading Coefficient: Let us remember that the leading coefficient is the one that accompanies the variable with the highest exponent, so in this case the variable with the highest exponent is w^2, therefore the leading coefficient is 5/9.

Degree: The degree of a polynomial is the highest exponent to which the polynomial variable is raised, in this case the highest exponent is 2, so the polynomial has degree 2.