Worksheet: Prime Polynomials

In this worksheet, we will practice verifying if a quadratic expression is prime.

Q1:

Determine whether the following expression is prime or not: 𝑥 + 5 𝑥 + 5 2 . If it is not prime, give the expression in its factorized form.

  • ANot prime, ( 𝑥 1 ) ( 𝑥 5 )
  • BNot prime, ( 𝑥 + 1 ) ( 𝑥 + 5 )
  • CNot prime, ( 𝑥 1 ) ( 𝑥 + 5 )
  • DPrime
  • ENot prime, ( 𝑥 + 1 ) ( 𝑥 5 )

Q2:

Determine whether the following expression is prime or not: 2 𝑥 7 𝑥 4 2 . If it is not prime, give the expression in its factorized form.

  • ANot prime, ( 2 𝑥 1 ) ( 𝑥 + 4 )
  • BPrime
  • CNot prime, ( 2 𝑥 1 ) ( 𝑥 4 )
  • DNot prime, ( 2 𝑥 + 1 ) ( 𝑥 4 )
  • ENot prime, ( 2 𝑥 + 2 ) ( 𝑥 2 )

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