Lesson Worksheet: Identifying Polynomials Mathematics • 9th Grade

In this worksheet, we will practice identifying polynomial expressions.


Which of the following functions is a polynomial?

  • A𝑓(𝑥)=𝑥𝑥+𝑥17
  • B𝑓(𝑥)=𝑥+17𝑥
  • C𝑓(𝑥)=18
  • D𝑓(𝑥)=𝑥+17
  • E𝑓(𝑥)=𝑥+𝑥+17


Which of the following expressions are polynomials?

  1. 𝑥+5𝑥𝑦2
  2. 𝑥𝑦
  3. 𝑥𝑦
  4. 5𝑥4𝑥𝑦
  • Ac and d
  • Ba and c
  • Ca and b
  • Da and c
  • Eb and d


The function 𝑓(𝑥)=𝑥+7𝑥+2 is polynomial. What is the degree of the function?


Consider the expression 𝑥+𝑥22.

Is the expression polynomial?

  • AYes
  • BNo

If the expression is polynomial, what is its degree?


True or False: The expression 𝑥+3𝑥2 is polynomial.

  • ATrue
  • BFalse


If 1 is a polynomial,

1+2 is a polynomial,

1+2+3 is a polynomial,

1+2+3+4 is a polynomial,

is 1+2+3+4++100 a polynomial?

  • AYes
  • BNo


Is the expression 2𝑥𝑦 a polynomial?

  • ANo
  • BYes


Which of the following is a polynomial?

  • A2𝑦
  • B𝑦2


Which of the expressions 2𝑥, 1𝑥+2, 1, and 2𝑥 is a polynomial?


Which of the following polynomials have the same degree?

  1. 2𝑥
  2. 3𝑥
  3. 3𝑦
  4. 2𝑥𝑦+2𝑥𝑦+4
  • AA and B
  • BA and D
  • CA and C
  • DB and D
  • EB and C

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