Given the expression –10p^2q + 7p^3q – 5q, 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.

Question

Given the expression –10p^2q + 7p^3q – 5q, 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.

anonymous · Answer

To get this straight, the equation is $$-10p ^{2q} + 7p ^{3q} - 5q$$

anonymous · Answer

Descending order means 3...2...1, and in order to put it in descending order you look at the exponents. So with that information, solve that..

anonymous · Answer

"A series is often represented as the sum of a sequence of terms. Individual factors in an expression representing a product are multiplicative terms. For example, in 6 + 3x − 2, 6, 3x, and −2 are all terms." So looking at your equation, how many terms are there?

anonymous · Answer

would it be classified as a trinomial

anonymous · Answer

It can be yes. The definition of a polynomial though is an equation with more than two terms. Since this has three terms (oops I kind of just gave you one of the answers there lol) it is considered a polynomial - as well as a trinomial.

The degree of the polynomial is the highest degree (or exponent) in the equation. So since you put the equation in descending order, what is the degree of the polynomial?

anonymous · Answer

the degree would end up being 3

anonymous · Answer

Correct! So now you have the answers to a) the descending order b) the number of terms and c) the degree! :)

anonymous · Answer

okay thanks with all of your help