Worksheet: Proving Polynomial Identities

In this worksheet, we will practice proving polynomial identities.

Q1:

Determine which of the following expressions is equivalent to (𝑥+𝑦+𝑧).

  • A2𝑥+2𝑦+2𝑧
  • B2𝑥+2𝑦+2𝑧+𝑥𝑦+𝑥𝑧+𝑦𝑧
  • C𝑥+𝑦+𝑧+𝑥𝑦+𝑥𝑧+𝑦𝑧
  • D𝑥+𝑦+𝑧
  • E𝑥+𝑦+𝑧+2𝑥𝑦+2𝑥𝑧+2𝑦𝑧

Q2:

Is the equation 𝑥𝑦=(𝑥+𝑦)(𝑥𝑦)(𝑥+𝑦) an identity?

  • Ano
  • Byes

Q3:

Is the equation 𝑥𝑦𝑥𝑦=𝑥+𝑦 an identity?

  • Ano
  • Byes

Q4:

Is the equation 𝑥𝑦=(𝑥𝑦)𝑥+𝑥𝑦+𝑦 an identity?

  • Ayes
  • Bno

Q5:

Is the equation 𝑥+𝑦𝑥+𝑦=𝑥+𝑦 an identity?

  • AYes
  • BNo

Q6:

Is the equation 𝑥+𝑦𝑥+𝑦=𝑥+𝑦 an identity?

  • AYes
  • BNo

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