Which polynomial is prime?

7x2 – 35x + 2x – 10
9x3 + 11x2 + 3x – 33
10x3 – 15x2 + 8x – 12
12x4 + 42x2 + 4x2 + 14

Option 2 is correct.

Step-by-step explanation:

Given the polynomials we have to choose the polynomial which is prime.

A polynomial with integer coefficients that cannot be factored into lower degree polynomials are Prime polynomials.

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⇒

can be factored ∴ not a prime polynomial.

⇒

cannot be factored ∴ prime polynomial.

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⇒

can be factored ∴ not a prime polynomial.

⇒

⇒

can be factored ∴ not a prime polynomial.

The second polynomial can not be factored into lower degree polynomial therefore, prime polynomial.

1.

- this polynomial is not prime.

3.

- this polynomial is not prime.

4.

- this polynomial is not prime.

2. This polynomial is prime.

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step-by-step explanation: