Question

find the degree of the polynomial and indicate whether the polynomial is a m
$x^{2}y - 8xy^{2} + 6x + y^{7}$
the degree of the polynomial is 7.
is $x^{2}y - 8xy^{2} + 6x + y^{7}$ a monomial, binomial, trinomial, or none of these?
a. monomial
b. binomial
c. trinomial
d. none of these

Explanation:

To determine the type of polynomial, we count the number of terms. The polynomial \(x^{2}y - 8xy^{2}+6x + y^{7}\) has four terms: \(x^{2}y\), \(-8xy^{2}\), \(6x\), and \(y^{7}\). A monomial has 1 term, a binomial has 2 terms, a trinomial has 3 terms. Since this polynomial has 4 terms, it is not a monomial, binomial, or trinomial.

Answer:

D. None of these