High School

Which expression is a prime polynomial?

A. \(3x^2 + 18y\)
B. \(x^3 - 27y^6\)
C. \(10x^4 - 5x^3 + 70x^2 + 3x\)
D. \(x^4 + 20x^2 - 100\)

Answer :

The expression that is a prime polynomial is:

B. [tex]x^3 - 27y^2[/tex].

What is a prime polynomial?

A prime polynomial is a polynomial that cannot be factored.

In this problem, item b gives a prime polynomial, as:

  • In item a, 3 is a common factor, hence the polynomial can be factored.
  • In item c, x is a common factor, hence the polynomial can be factored.
  • In item d, the polynomial can be factored according to it's roots.

More can be learned about prime polynomials at https://brainly.com/question/26388060

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