Question

Find the degree of each monomial.

2b^2c^2
A. 2
B. 3
C. 4
D. 5
5x
A. 0
B. 1
C. 2
D. 5
19ab
A. 18
B. 19
C. 20
D. 21

Answer 1

The degree of a monomial is determined by adding the exponents of all the variables in the monomial. The monomial 2b^2c^2 has a degree of 4, 5x has a degree of 1, and 19ab has a degree of 2.

Step-by-step explanation:

Degree of a Monomial

To find the degree of a monomial, you add the exponents of all the variables in the monomial. Let's determine the degree for each monomial given:

• For the monomial 2b^2c^2, you add the exponents of b and c which are 2 and 2 respectively, giving us 2 + 2 = 4. So the degree is 4 (Option C).
• 5x has just one variable x with an exponent of 1 (understood, even when not shown). Therefore, the degree is 1 (Option B).
• In 19ab, the variables a and b both have the exponent 1, adding up to 1 + 1 = 2. Thus, the degree is 2 (Option C).