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which polynomials are prime? check all that apply d 15x^2+10x-9x+7 d 20x^2-12x+30x-18 6x^3+14x^2-12x-28 8x^3+20x^2+3x+12

Question

Which polynomials are prime? Check all that apply D 15x^2+10x-9x+7 D 20x^2-12x+30x-18 6x^3+14x^2-12x-28 8x^3+20x^2+3x+12 11x^4+4x^2-6x^2-16

Solution

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Resposta

To determine which polynomials are prime, we need to check if they can be factored into simpler polynomials with lower degrees. Let's analyze each polynomial one by one.1. This polynomial can be simplified by combining like terms: This polynomial cannot be factored further, so it is prime.2. This polynomial can be simplified by combining like terms: This polynomial cannot be factored further, so it is prime.3. This polynomial can be simplified by factoring out the greatest common factor (GCF) from each term: This polynomial can be factored further, so it is not prime.4. This polynomial can be simplified by factoring out the greatest common factor (GCF) from each term: This polynomial can be factored further, so it is not prime.5. This polynomial can be simplified by combining like terms: This polynomial cannot be factored further, so it is prime.Therefore, the prime polynomials are:- - -