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Select the correct answer.

Which expression is a prime polynomial?

A. \(10x^4 + 5x^3 + 70x^2 + 3x\)

B. \(x^3 - 27y^6\)

C. \(x^2 + 20x + 100\)

D. \(3x^2 + 18y\)

Answer :

Final answer:

The prime polynomial is x³ - 27y⁶.


Explanation:

A prime polynomial is a polynomial that cannot be factored into polynomials of lower degree with integer coefficients.

In the given options, the correct answer is (OB) x³ - 27y⁶. This expression is a prime polynomial because it cannot be factored further. It is in its simplest form.

The other options can be factored or simplified further, making them not prime polynomials.


Learn more about Prime polynomials here:

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