Special Polynomials

Classifying Polynomials

Degree of a Polynomial

9

Degree of a Polynomial

9

No variable

Degree of a Polynomial

9

No variable

Constant

Degree of a Polynomial

(Each degree has a special “name”)

9

No variable

Constant

8x

Degree of a Polynomial

(Each degree has a special “name”)

9

No variable

Constant

8x

1st degree

Degree of a Polynomial

(Each degree has a special “name”)

9

No variable

Constant

8x

1st degree

Linear

Degree of a Polynomial

(Each degree has a special “name”)

9

No variable

Constant

8x

1st degree

Linear

7x2 + 3x

Degree of a Polynomial

(Each degree has a special “name”)

9

No variable

Constant

8x

1st degree

Linear

7x2 + 3x

2nd degree

Degree of a Polynomial

(Each degree has a special “name”)

9

No variable

Constant

8x

1st degree

Linear

7x2 + 3x

2nd degree

Quadratic

Degree of a Polynomial

(Each degree has a special “name”)

9

No variable

Constant

8x

1st degree

Linear

7x2 + 3x

2nd degree

Quadratic

6x3 – 2x

Degree of a Polynomial

(Each degree has a special “name”)

9

No variable

Constant

8x

1st degree

Linear

7x2 + 3x

2nd degree

Quadratic

6x3 – 2x

3rd degree

Degree of a Polynomial

(Each degree has a special “name”)

9

No variable

Constant

8x

1st degree

Linear

7x2 + 3x

2nd degree

Quadratic

6x3 – 2x

3rd degree

Cubic

Degree of a Polynomial

(Each degree has a special “name”)

9

No variable

Constant

8x

1st degree

Linear

7x2 + 3x

2nd degree

Quadratic

6x3 – 2x

3rd degree

Cubic

3x4 + 5x – 1

Degree of a Polynomial

(Each degree has a special “name”)

9

No variable

Constant

8x

1st degree

Linear

7x2 + 3x

2nd degree

Quadratic

6x3 – 2x

3rd degree

Cubic

3x4 + 5x – 1

4th degree

Degree of a Polynomial

(Each degree has a special “name”)

9

No variable

Constant

8x

1st degree

Linear

7x2 + 3x

2nd degree

Quadratic

6x3 – 2x

3rd degree

Cubic

3x4 + 5x – 1

4th degree

Quartic

Degree of a Polynomial

(Each degree has a special “name”)

9

No variable

Constant

8x

1st degree

Linear

7x2 + 3x

2nd degree

Quadratic

6x3 – 2x

3rd degree

Cubic

3x4 + 5x – 1

4th degree

Quartic

2x5 + 7x3

Degree of a Polynomial

(Each degree has a special “name”)

9

No variable

Constant

8x

1st degree

Linear

7x2 + 3x

2nd degree

Quadratic

6x3 – 2x

3rd degree

Cubic

3x4 + 5x – 1

4th degree

Quartic

2x5 + 7x3

5th degree

Degree of a Polynomial

(Each degree has a special “name”)

9

No variable

Constant

8x

1st degree

Linear

7x2 + 3x

2nd degree

Quadratic

6x3 – 2x

3rd degree

Cubic

3x4 + 5x – 1

4th degree

Quartic

2x5 + 7x3

5th degree

Quintic

Degree of a Polynomial

(Each degree has a special “name”)

9

No variable

Constant

8x

1st degree

Linear

7x2 + 3x

2nd degree

Quadratic

6x3 – 2x

3rd degree

Cubic

3x4 + 5x – 1

4th degree

Quartic

2x5 + 7x3

5th degree

Quintic

5xn

Degree of a Polynomial

(Each degree has a special “name”)

9

No variable

Constant

8x

1st degree

Linear

7x2 + 3x

2nd degree

Quadratic

6x3 – 2x

3rd degree

Cubic

3x4 + 5x – 1

4th degree

Quartic

2x5 + 7x3

5th degree

Quintic

5xn

“nth” degree

9

No variable

Constant

8x

1st degree

Linear

7x2 + 3x

2nd degree

Quadratic

6x3 – 2x

3rd degree

Cubic

3x4 + 5x – 1

4th degree

Quartic

2x5 + 7x3

5th degree

Quintic

5xn

“nth” degree

“nth” degree

Degree of a Polynomial

(Each degree has a special “name”)

Let’s practice classifying polynomials

by “degree”.

POLYNOMIAL

1.

3z

4

+ 5z

3

–

7

2.

15a + 25

3.

185

4.

2c

10

–

7c

6

+ 4c

3

-

9

5.

2f

3

–

7f

2

+ 1

6.

15y

2

7.

9g

4

–

3g + 5

8.

10r

5

–

7r

DEGREE NAME

1.

Quartic

2.

Linear

3.

Constant

4.

Tenth degree

5.

Cubic

6.

Quadratic

7.

Quartic

8.

Quintic

Naming Polynomials

(by number of terms)

2

5x

Naming Polynomials

(by number of terms)

One term
2

5x

Naming Polynomials

(by number of terms)

One term

Monomial
2

5x

Naming Polynomials

(by number of terms)

One term

Monomial
2

5x

3

x+

Naming Polynomials

(by number of terms)

One term

Monomial

Two terms

2

5x

3

x+

Naming Polynomials

(by number of terms)

One term

Monomial

Two terms

Binomial

2

5x

3

x+

Naming Polynomials

(by number of terms)

One term

Monomial

Two terms

Binomial

2

5x

3

x+

3

7

2

4

x

x

+

−

Naming Polynomials

(by number of terms)

One term

Monomial

Two terms

Binomial

Three terms

2

5x

3

x+

3

7

2

4

x

x

+

−

Naming Polynomials

(by number of terms)

One term

Monomial

Two terms

Binomial

Three terms

Trinomial

2

5x

3

x+

3

7

2

4

x

x

+

−

Naming Polynomials

(by number of terms)

One term

Monomial

Two terms

Binomial

Three terms

Trinomial

2

5x

3

x+

3

7

2

4

x

x

+

−

4

3

2

2

2

5

x

x

x

x

+

−

+

Naming Polynomials

(by number of terms)

One term

Monomial

Two terms

Binomial

Three terms

Trinomial

Four (or more)

terms

2

5x

3

x+

3

7

2

4

x

x

+

−

4

3

2

2

2

5

x

x

x

x

+

−

+

Naming Polynomials

(by number of terms)

One term

Monomial

Two terms

Binomial

Three terms

Trinomial

Four (or more)

terms

Polynomial with 4
(or more) terms

2

5x

3

x+

3

7

2

4

x

x

+

−

4

3

2

2

2

5

x

x

x

x

+

−

+