Polynomial Identification

yes, because it does not matter what the exponent is.

no, because the exponent is a variable.

polynomial because a radical has a positive integer exponent

not a polynomial because a radical when converted to exponential has a non- integer exponent.

Yes, with degree 3 and leading coefficient 1.

No, this is a square root of a polynomial, but not a polynomial.

Yes, and the degree is 5 with leading coefficient 2/3.

No, because there is a fraction coefficient.

monomial

binomial

trinomial

not a polynomial

Yes, it is a polynomial.

No, it is not a polynomial

2

-2

5

1/2

quadratic

linear

cubic

constant

quartic

quadratic

linear

cubic

constant

quartic

Yes, it is a polynomial function.

No, it is not a polynomial function because it has a negative exponent.

$$-4x+4$$  

$$-4x+3$$  

$$4x+4$$  

$$-x+4$$  

$$5p^2+4p$$  

$$5p^2+p$$  

$$5p^2+3p$$  

$$5p^2$$  

$$x^3+2x^2+8x+7$$  

$$7+2x^2+4x$$  

$$8+2x^2+4x$$  

$$x^32x^2+4x+7$$  

$$-n^3-4n^2+n+3$$  

$$3n^3-4n^2+n+3$$  

$$2n^3-4n^2+n+3$$  

$$3n^3-4n^2-3n+3$$  

2x² - 5xy

2x² + 5xy

- 2x² - 5xy

- 2x² + 5xy

-11h - 2

- 5h + 2

- 5h - 2

- 5h - 6

10x² + 5x

-10x² - 5x

- 5x + 10x²

5x - 10x²

¹/₇¹⁰

7¹⁰

¹/₇^-10

-70

¹/₇¹⁰

7¹⁰

¹/₇^-10

-70

12v+18

12v² + 18v

15v² + 8v

12v² + 18v²

-32x² - 72x + 96

-32x³ - 72x² - 96x

-32x³ + 72x² - 96

-32x³ + 72x² - 96x

x² - 2x + 48

x² - 2x - 48

x² + 2x - 48

x² - 48

6x² - 7xy - 20y²

6x² + 7xy - 20y²

6x² - 7xy + 20y²

6x² - 20y²

6x² + 19x

6x² + 15

6x² + 19x + 8

6x² + 19x + 15