Question

Given the expression −10p2q + 7p3q2 − 5q, do the following as instructed below:

Answer 1

Answer:

A)

$7 {p}^{3} {q}^{2} - 10 {p}^{2} q + - 5q$

B) Trinomial

C) Degree=5

Step-by-step explanation:

The given polynomial is

$- 10 {p}^{2} q + 7 {p}^{3} {q}^{2} - 5q$

A: Write the polynomial in descending order.

In descending order, we rewrite the polynomial from the highest degree to the least.

$7 {p}^{3} {q}^{2} - 10 {p}^{2} q + - 5q$

B: Classify the polynomial by the number of terms.

The polynomial has three terms so it is called a trinomial.

C: State the degree of the polynomial.

The degree of the polynomial is sum of the exponents of the leading terms after the polynomial is written in descending order.

The degree is 3+3=5