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

Q1:

What degree of polynomial is the function 𝑓 ( π‘₯ ) = βˆ’ 7 π‘₯ βˆ’ ο€Ή 3 π‘₯ βˆ’ 5  3 ?

  • Asecond
  • Bfourth
  • Cfirst
  • Dthird

Q2:

What degree of polynomial is the function 𝑓 ( π‘₯ ) = βˆ’ 1 0 π‘₯ βˆ’ ο€Ή 9 π‘₯ βˆ’ 1  4 ?

  • Asecond
  • Bthird
  • Cfirst
  • Dfourth

Q3:

What is the degree of the polynomial π‘₯ + 6 π‘₯ βˆ’ 2 π‘₯ + π‘₯ βˆ’ 2 4 3 2 ?

Q4:

Find the degree of the function 𝑓 ( π‘₯ ) = βˆ’ 3 π‘₯ ( βˆ’ 6 π‘₯ + 1 0 ) 3 .

Q5:

Find the degree of the function 𝑓 ( π‘₯ ) = βˆ’ 1 0 π‘₯ ( 5 π‘₯ + 4 ) 3 4 2 .

Q6:

Which of the following functions is a polynomial?

  • A 𝑓 ( π‘₯ ) = π‘₯ + √ π‘₯ + 1 7 2
  • B 𝑓 ( π‘₯ ) = π‘₯ + 1 7 π‘₯
  • C 𝑓 ( π‘₯ ) = √ π‘₯ + 1 7 3
  • D 𝑓 ( π‘₯ ) = 1 8
  • E 𝑓 ( π‘₯ ) = π‘₯ ο€Ή π‘₯ + π‘₯ βˆ’ 1 7  2 βˆ’ 2

Q7:

Which of the following functions is a polynomial?

  • A 𝑓 ( π‘₯ ) = π‘₯ + √ π‘₯ + 2 2
  • B 𝑓 ( π‘₯ ) = π‘₯ + 2 π‘₯
  • C 𝑓 ( π‘₯ ) = √ π‘₯ + 2 3
  • D 𝑓 ( π‘₯ ) = 1 4 π‘₯ βˆ’ 2
  • E 𝑓 ( π‘₯ ) = π‘₯ ο€Ή π‘₯ + π‘₯ βˆ’ 2  2 βˆ’ 2

Q8:

Which of the following functions is a polynomial?

  • A 𝑓 ( π‘₯ ) = π‘₯ + √ π‘₯ + 4 2
  • B 𝑓 ( π‘₯ ) = π‘₯ + 4 π‘₯
  • C 𝑓 ( π‘₯ ) = √ π‘₯ + 4 3
  • D 𝑓 ( π‘₯ ) = π‘₯ + π‘₯ + 4 3 2
  • E 𝑓 ( π‘₯ ) = π‘₯ ο€Ή π‘₯ + π‘₯ βˆ’ 4  2 βˆ’ 2

Q9:

What is the degree of the equation π‘₯ + 5 π‘₯ + 4 𝑦 = 5 2 ?

  • Afirst
  • Bzeroth
  • Cthird
  • Dsecond

Q10:

What degree of polynomial is the function 𝑓 ( π‘₯ ) = 5 π‘₯ + 1 ?

  • Athird
  • Bsecond
  • Cfourth
  • Dfirst

Q11:

What degree of polynomial is the function 𝑓 ( π‘₯ ) = 7 π‘₯ βˆ’ 2 2 ?

  • Athird
  • Bfirst
  • Cfourth
  • Dsecond

Q12:

What degree of polynomial is the function 𝑓 ( π‘₯ ) = 3 ?

  • Asecond
  • Bfirst
  • Cthird
  • Dzero