Given the expression 3x2y + 4xy + 1 – 5x4y – 6y, do the following as instructed below:
write the polynomial in descending order.
classify the polynomial by the number of terms.
state the degree of the polynomial.

We were given the polynomial



Writing the polynomial in descending order means we should arrange from the term with the highest degree to the term with the least degree. This will give us;



If a has only one term it is called a monomial, two terms is called binomial, three terms trinomial and four or more terms are called polynomials.



The degree of this polynomial is found by adding the degrees of the terms of the polynomial and picking the highest degree.

From the diagram in the attachment the highest degree of the polynomial is 5.