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

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

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