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Lesson: Polynomial Long Division without Remainder

Worksheet • 7 Questions

Q1:

Knowing that the volume of a box is 1 2 π‘₯ + 2 0 π‘₯ βˆ’ 2 1 π‘₯ βˆ’ 3 6 3 2 , its length is 2 π‘₯ + 3 , and its width is 3 π‘₯ βˆ’ 4 , express the height of the box algebraically.

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

Q2:

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

Q3:

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

Q4:

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

Q5:

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

Q6:

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

Q7:

Karim spent 540 seconds jogging. Make a table to determine the algebraic expression that relates the number of seconds to that of minutes, given that there are 60 seconds in 1 minute. Then, determine how many minutes Karim spent jogging.

  • A , 9 min
  • B , 480 min
  • C , 600 min
  • D , 8 min
  • E , 90 min
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