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24 December, 18:02

A prime polynomial is an irreducible polynomial with integer coefficients that cannot be factored into polynomials of lower degree over the real number system. Which trinomial is prime?

A.) x2 - 7x - 18

B.) x2 - 9x - 18

C.) x2 + 3x - 18

D.) x2 + 17x - 18

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Answers (1)
  1. 24 December, 19:11
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    I believe the correct answer is B. It is the polynomial x^2 - 9x - 18 that is a prime polynomial. Other options can be factored out to a number under the real number system while option B cannot give a whole number. The factors are as follows:

    A.) x2 - 7x - 18 9 and - 2

    B.) x2 - 9x - 18 10.68465844 and - 1.684658438

    C.) x2 + 3x - 18 3 and - 6

    D.) x2 + 17x - 18 1 and - 18
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