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

Start Practicing

Worksheet: Factors of Polynomial Functions from Their Graphs

Q1:

Which of the following is the graph of 𝑓 ( π‘₯ ) = βˆ’ ( π‘₯ + 3 ) ( π‘₯ βˆ’ 1 ) ( π‘₯ βˆ’ 4 ) ?

  • A
  • B
  • C
  • D
  • E

Q2:

In ( ) a , the graph of 𝑓 ( π‘₯ ) = βˆ’ ( π‘₯ + 1 ) ( π‘₯ βˆ’ 2 ) ( π‘₯ βˆ’ 4 ) is represented. What is 𝑔 so that ( ) b is the graph of 𝑦 = 𝑓 ( π‘₯ ) 𝑔 ( π‘₯ ) ?

  • A 𝑔 ( π‘₯ ) = π‘₯ βˆ’ 1
  • B 𝑔 ( π‘₯ ) = βˆ’ 2 π‘₯ βˆ’ π‘₯ βˆ’ 1 2
  • C 𝑔 ( π‘₯ ) = 1 βˆ’ π‘₯
  • D 𝑔 ( π‘₯ ) = 2 π‘₯ + π‘₯ βˆ’ 1 2
  • E 𝑔 ( π‘₯ ) = βˆ’ π‘₯ βˆ’ 1

Q3:

Which of the following is a possible equation of the curve?

  • A 𝑦 = βˆ’ 1 5 π‘₯ ( π‘₯ + 1 ) ( π‘₯ βˆ’ 2 )
  • B 𝑦 = 1 7 π‘₯ ( π‘₯ + 1 ) ( π‘₯ βˆ’ 2 )
  • C 𝑦 = βˆ’ 1 7 π‘₯ ( π‘₯ + 1 ) ( π‘₯ βˆ’ 2 )
  • D 𝑦 = 1 5 π‘₯ ( π‘₯ + 1 ) ( π‘₯ βˆ’ 2 ) 2
  • E 𝑦 = 1 5 π‘₯ ( π‘₯ + 1 ) ( π‘₯ βˆ’ 2 ) 2 2