Question

Given the expression −10p2q + 7p3q − 5q, do the following as instructed below: A: Write the polynomial in descending order. B: Classify the polynomial by the number of terms. C: State the degree of the polynomial.

Answer 1

If we are to rewrite the equation such that we are able to clearly distinguish the exponents of each of the variables, this is,

-10p²q + 7p³q - 5q

(A) Writing this polynomial in descending order, we properly looked the exponent of the first variable and arrange it from highest to least.
7p³q - 10p²q - 5q

(B) There are three terms in the polynomial given above. Hence, the given is TRINOMIAL.

(C) The degree of the polynomial is 4 since it is the highest exponent of the term in the given.