Chapter 4.2, Problem 8OE

a.

To determine

To State: The degree of each variable in the monomial $-3a^{5}b{c}^2$ .

Answer to Problem 8OE

The required answer is: degree of a is 5, b is 1 and c is 2.

Explanation of Solution

Given information:

The monomial $-3a^{5}b{c}^2$

Calculation:

The degree of a variable in a monomial is the number of times that the variable occurs as a factor in the monomial.

  $-3a^{5}b{c}^2$

The degree of a is 5.

The degree of b is 1.

The degree of c is 2.

b.

To determine

To State: The degree of the monomial $-3a^{5}b{c}^2$ .

Answer to Problem 8OE

The required degree of the monomial is 8.

Explanation of Solution

Given information:

The monomial $-3a^{5}b{c}^2$

Calculation:

The degree of monomial is the sum of the degrees of its variables.

  $-3a^{5}b{c}^2$

The degree of its variables a, b and c are 5, 1 and 2 respectively.

Therefore the degree of the monomial $-3a^{5}b{c}^2$ is $5+1+2=8$ .