Worksheet: Synthetic Division

In this worksheet, we will practice using synthetic division for dividing polynomials.

Q1:

Use synthetic division to find the quotient when 𝑥+2𝑥−3 is divided by 𝑥−1.

  • A𝑥−3𝑥+3
  • B𝑥+3𝑥+3
  • C𝑥−𝑥+3
  • D𝑥−𝑥−3
  • E𝑥+𝑥+3

Q2:

Use synthetic division to find the remainder when 𝑥−7𝑥+14𝑥−6 is divided by 𝑥−1.

Q3:

Use synthetic division to divide 𝑥−1 by 𝑥−1.

  • A𝑥+1
  • B𝑥−1
  • C𝑥+𝑥+1
  • D𝑥+𝑥−1
  • E𝑥−𝑥+1

Q4:

Use synthetic division to find the remainder when 𝑥−2𝑥+4𝑥−6 is divided by 𝑥−1.

  • A−3
  • B5𝑥−8
  • C5
  • D5𝑥−13
  • E5𝑥−3

Q5:

Use synthetic division to simplify 6𝑥−7𝑥+14𝑥−62𝑥−1.

  • A3𝑥−2𝑥+6
  • B2𝑥+3𝑥+6
  • C3𝑥+2𝑥+6
  • D3𝑥−2𝑥−6
  • E2𝑥−3𝑥−6

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