Lesson Worksheet: Prime Polynomials Mathematics

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

Q1:

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

  • APrime
  • BNot prime, (𝑥1)(𝑥+5)
  • CNot prime, (𝑥+1)(𝑥+5)
  • DNot prime, (𝑥+1)(𝑥5)
  • ENot prime, (𝑥1)(𝑥5)

Q2:

Determine whether the expression 𝑥144 is prime or not. If it is not prime, give the expression in its factorized form.

  • APrime
  • BNot prime, (𝑥11)(𝑥+11)
  • CNot prime, (𝑥+12)(𝑥+12)
  • DNot prime, (𝑥12)(𝑥12)
  • ENot prime, (𝑥12)(𝑥+12)

Q3:

Determine whether 2𝑥2𝑥+3 is a prime polynomial or not.

  • APrime
  • BNot prime

Q4:

Determine whether the following expression is a prime polynomial: 𝑥+2𝑥3. If it is not prime, give the expression in factorized form.

  • APrime
  • BNot prime, (𝑥1)(𝑥+3)
  • CNot prime, (𝑥1)(𝑥3)
  • DNot prime, (𝑥+1)(𝑥3)
  • ENot prime, (𝑥+1)(𝑥+3)

Q5:

Which of the following is not a prime polynomial?

  • A𝑛+2𝑛+4
  • B𝑛+4
  • C𝑛+2
  • D2𝑛+2𝑛4
  • E2𝑛+2𝑛+4

Q6:

Which of the following is a prime polynomial?

  • A𝑛14
  • B𝑛+4𝑛+4
  • C𝑛+2𝑛+4
  • D𝑛4
  • E𝑛4𝑛+4

Q7:

True or false: 𝑥+1 is a prime polynomial.

  • AFalse
  • BTrue

Q8:

True or false: 𝑥14 is a prime polynomial.

  • ATrue
  • BFalse

Q9:

Determine whether the following expression is prime or not: 2𝑥7𝑥4. If it is not prime, give the expression in its factorized form.

  • ANot prime, (2𝑥+2)(𝑥2)
  • BNot prime, (2𝑥1)(𝑥+4)
  • CNot prime, (2𝑥+1)(𝑥4)
  • DNot prime, (2𝑥1)(𝑥4)
  • EPrime

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