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which polynomial is prime? 3x^3+3x^2-2x-2 3x^3-2x^2+3x-4 4x^3+2x^2+6x+3 is 4x^3+4x^2-3x-3

Question

Which polynomial is prime? 3x^3+3x^2-2x-2 3x^3-2x^2+3x-4 4x^3+2x^2+6x+3 is 4x^3+4x^2-3x-3

Solution

Verificación de expertos
4.6 (312 Votos)
Adriano Veterano · Tutor por 11 anos

Resposta

To determine which polynomial is prime, we need to check if any of the given polynomials can be factored into the product of two or more non-constant polynomials with coefficients in the field of real numbers.Let's analyze each polynomial one by one:1. : This polynomial can be factored as , so it is not prime.2. : This polynomial cannot be factored further, so it is prime.3. : This polynomial can be factored as , so it is not prime.4. : This polynomial can be factored as , so it is not prime.Therefore, the polynomial that is prime is .