SBP-Program

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What is the degree of a monomial?

Finding the degree of monomials.

Example

What is the degree of the monomial

6x10

Answer: the degree of the monomial 6x10 is 10.

Example

What is the degree of the monomial

5x15

Answer: the degree of the monomial 5x15 is 15.

Example

What is the degree of the monomial

5xy4z

The literal part of the monomial is

xy4z =
x1y4z1

Add the exponents of the variables:

1 + 4 + 1 = 6

Answer: the degree of the monomial 5xy4z is 6.

Example

What is the degree of the monomial

(-1/5)x

We know that

(-1/5)x = (-1/5)x1

Answer: the degree of the monomial (-1/5)x is 1.

Example

What is the degree of the monomial

(3x2y)/5

Solution.

(3x2y)/5 =
(3/5)x2y1

The literal part of the monomial is

x2y1

Add the exponents of the variables:

2 + 1 = 3

The answer: the degree of the monomial (3x2y)/5 is 3.

Example

What is the degree of the monomial

5

Answer: the degree of the monomial 5 is 0.

Example

What is the degree of the monomial

7x-1

But is it a monomial? No, it is not.

The exponents of variables in a monomial cannot be negative.