Worksheet: Determining Whether a Function Is a Polynomial and Stating Its Degree

Download Practice

In this worksheet, we will practice determining whether an function is a polynomial and finding its degree.

Q1:

What is the degree of the polynomial 𝑥 + 6 𝑥 − 2 𝑥 + 𝑥 − 2 4 3 2 ?

Q2:

What degree of polynomial is the function 𝑓 ( 𝑥 ) = − 7 𝑥 − 3 𝑥 − 5 3 ?

  • Asecond
  • Bfourth
  • Cfirst
  • Dthird

Q3:

Find the degree of the function 𝑓 ( 𝑥 ) = − 3 𝑥 ( − 6 𝑥 + 1 0 ) 3 .

Q4:

Which of the following functions is a polynomial?

  • A 𝑓 ( 𝑥 ) = 𝑥 + √ 𝑥 + 1 7 2
  • B 𝑓 ( 𝑥 ) = 𝑥 + 1 7 𝑥
  • C 𝑓 ( 𝑥 ) = √ 𝑥 + 1 7 3
  • D 𝑓 ( 𝑥 ) = 1 8
  • E 𝑓 ( 𝑥 ) = 𝑥 𝑥 + 𝑥 − 1 7 2 − 2

Q5:

What degree of polynomial is the function 𝑓 ( 𝑥 ) = 5 𝑥 + 1 ?

  • Athird
  • Bsecond
  • Cfourth
  • Dfirst

Q6:

What is the degree of the equation 𝑥 + 5 𝑥 + 4 𝑦 = 5 2 ?

  • Afirst
  • Bzeroth
  • Cthird
  • Dsecond

Q7:

What degree of polynomial is the function 𝑓 ( 𝑥 ) = − 1 0 𝑥 − 9 𝑥 − 1 4 ?

  • Asecond
  • Bthird
  • Cfirst
  • Dfourth

Q8:

Find the degree of the function 𝑓 ( 𝑥 ) = − 1 0 𝑥 ( 5 𝑥 + 4 ) 3 4 2 .

Q9:

Which of the following functions is a polynomial?

  • A 𝑓 ( 𝑥 ) = 𝑥 + √ 𝑥 + 2 2
  • B 𝑓 ( 𝑥 ) = 𝑥 + 2 𝑥
  • C 𝑓 ( 𝑥 ) = √ 𝑥 + 2 3
  • D 𝑓 ( 𝑥 ) = 1 4 𝑥 − 2
  • E 𝑓 ( 𝑥 ) = 𝑥 𝑥 + 𝑥 − 2 2 − 2

Q10:

Which of the following functions is a polynomial?

  • A 𝑓 ( 𝑥 ) = 𝑥 + √ 𝑥 + 4 2
  • B 𝑓 ( 𝑥 ) = 𝑥 + 4 𝑥
  • C 𝑓 ( 𝑥 ) = √ 𝑥 + 4 3
  • D 𝑓 ( 𝑥 ) = 𝑥 + 𝑥 + 4 3 2
  • E 𝑓 ( 𝑥 ) = 𝑥 𝑥 + 𝑥 − 4 2 − 2

Q11:

What degree of polynomial is the function 𝑓 ( 𝑥 ) = 7 𝑥 − 2 2 ?

  • Athird
  • Bfirst
  • Cfourth
  • Dsecond

Q12:

What degree of polynomial is the function 𝑓 ( 𝑥 ) = 3 ?

  • Asecond
  • Bfirst
  • Cthird
  • Dzero

Nagwa uses cookies to ensure you get the best experience on our website. Learn more about our Privacy Policy.