The degree of a polynomial is a very straightforward concept that is really not hard to understand

Recall that for y

4x

This polynomial has three terms. The first one is 4x

The exponent of the first term is 2

The exponent of the second term is 1 because 6x = 6x

The exponent of the third term is 0 because 5 = 5x

What? 5x

Well, anything with an exponent of 0 is always equal to 1

Thus, 5x

Since the highest exponent is 2, the degree of 4x

2y

This polynomial has seven terms. The first one is 2y

The exponent of the first term is 6

The exponent of the second term is 5

The exponent of the third term is 4

The exponent of the fourth term is 3

The exponent of the fifth term is 2

The exponent of the sixth term is 1 because y = y

The exponent of the last term is 0 because 6 = 6x

Since the highest exponent is 6, the degree of 2y

Write a polynomial for the following descriptions

1)

A binomial in z with a degree of 10

2)

A trinomial in c with a degree of 4

3)

A binomial in y with a degree of 1

4)

A monomial in b with a degree of 3

1)

2z

2)

c

3)

y + 4

4)

b