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Worksheet: Polynomial Long Division

Q1:

Find the quotient of βˆ’ 6 4 π‘₯ + 1 2 π‘₯ βˆ’ 2 π‘₯ 4 2 divided by βˆ’ 8 π‘₯ βˆ’ 2 π‘₯ + 1 2 .

  • A βˆ’ 8 π‘₯ + 2 π‘₯ 2
  • B 8 π‘₯ + 2 π‘₯ 2
  • C βˆ’ 8 π‘₯ βˆ’ 2 π‘₯ 2
  • D 8 π‘₯ βˆ’ 2 π‘₯ 2

Q2:

Find the quotient when 6 π‘₯ + 1 1 π‘₯ βˆ’ 4 3 π‘₯ βˆ’ 4 0 π‘₯ 4 3 2 is divided by π‘₯ + π‘₯ βˆ’ 8 2 .

  • A βˆ’ 6 π‘₯ βˆ’ 5 π‘₯ 2
  • B 6 π‘₯ βˆ’ 5 π‘₯ 2
  • C βˆ’ 6 π‘₯ + 5 π‘₯ 2
  • D 6 π‘₯ + 5 π‘₯ 2

Q3:

We want to factor 1 8 π‘₯ βˆ’ 4 8 π‘₯ + 3 0 π‘₯ 4 2 into two factors. Given that one of these factors is 3 π‘₯ + 3 π‘₯ βˆ’ 5 2 , what is the other?

  • A βˆ’ 6 π‘₯ + 6 π‘₯ 2
  • B 6 π‘₯ + 6 π‘₯ 2
  • C βˆ’ 6 π‘₯ βˆ’ 6 π‘₯ 2
  • D 6 π‘₯ βˆ’ 6 π‘₯ 2

Q4:

We want to factor 6 π‘₯ βˆ’ 2 0 π‘₯ βˆ’ 7 π‘₯ + 4 9 π‘₯ 4 3 2 into two factors. Given that one of these factors is 2 π‘₯ βˆ’ 2 π‘₯ βˆ’ 7 2 , what is the other?

  • A βˆ’ 3 π‘₯ + 7 π‘₯ 2
  • B 3 π‘₯ + 7 π‘₯ 2
  • C βˆ’ 3 π‘₯ βˆ’ 7 π‘₯ 2
  • D 3 π‘₯ βˆ’ 7 π‘₯ 2

Q5:

Evaluate π‘š Γ· ( 𝑛 𝑝 ) , given that π‘š = 3 5 , 𝑝 = βˆ’ 5 , and 𝑛 = βˆ’ 7 .

Q6:

David spent 540 seconds jogging. Make a table to determine the algebraic expression that relates the number of s e c o n d s 𝑛 to that of minutes, given that there are 60 seconds in 1 minute. Then, determine how many m i n u t e s David spent jogging.

  • A 𝑛 Γ· 6 , 90 min
  • B 6 0 + 𝑛 , 600 min
  • C 6 0 𝑛 , 8 min
  • D 𝑛 Γ· 6 0 , 9 min
  • E 𝑛 βˆ’ 6 0 , 480 min

Q7:

βˆ’ 4 0 π‘₯ Γ· = βˆ’ 5 π‘₯ 9 7 .

  • A 1 8 π‘₯ 2
  • B 8 π‘₯ 1 6
  • C 2 0 0 π‘₯ 1 6
  • D 8 π‘₯ 2