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+2𝑥3 is divided by 𝑥1.

  • A𝑥3𝑥+3
  • B𝑥+3𝑥+3
  • C𝑥𝑥+3
  • D𝑥𝑥3
  • E𝑥+𝑥+3

Q2:

Use synthetic division to find the remainder when 𝑥7𝑥+14𝑥6 is divided by 𝑥1.

Q3:

Use synthetic division to divide 𝑥1 by 𝑥1.

  • A𝑥+1
  • B𝑥1
  • C𝑥+𝑥+1
  • D𝑥+𝑥1
  • E𝑥𝑥+1

Q4:

Use synthetic division to find the remainder when 𝑥2𝑥+4𝑥6 is divided by 𝑥1.

  • A3
  • B5𝑥8
  • C5
  • D5𝑥13
  • E5𝑥3

Q5:

Use synthetic division to simplify 6𝑥7𝑥+14𝑥62𝑥1.

  • A3𝑥2𝑥+6
  • B2𝑥+3𝑥+6
  • C3𝑥+2𝑥+6
  • D3𝑥2𝑥6
  • E2𝑥3𝑥6

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