Lesson Worksheet: Identifying Polynomials Mathematics

In this worksheet, we will practice identifying polynomial expressions.

Q1:

Which of the following functions is a polynomial?

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

Q2:

Which of the following functions is a polynomial?

  • A𝑓(𝑥)=𝑥𝑥+𝑥−44
  • B𝑓(𝑥)=𝑥+44𝑥
  • C𝑓(𝑥)=45
  • D𝑓(𝑥)=√𝑥+44
  • E𝑓(𝑥)=𝑥+√𝑥+44

Q3:

Which of the following functions is a polynomial?

  • A𝑓(𝑥)=𝑥𝑥+𝑥−41
  • B𝑓(𝑥)=𝑥+41𝑥
  • C𝑓(𝑥)=42
  • D𝑓(𝑥)=√𝑥+41
  • E𝑓(𝑥)=𝑥+√𝑥+41

Q4:

Which of the following expressions are polynomials?

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

Q5:

True or False: The expression 𝑥+3𝑥−2 is polynomial.

  • ATrue
  • BFalse

Q6:

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

Q7:

Is the expression 2𝑥𝑦 a polynomial?

  • ANo
  • BYes

Q8:

Which of the following is a polynomial?

  • A2𝑦
  • B𝑦2

Q9:

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

Q10:

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

Q11:

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

Q12:

Consider the expression 𝑥+𝑥2−2.

Is the expression polynomial?

  • AYes
  • BNo

If the expression is polynomial, what is its degree?

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