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

Question

Mathematics

Savion Murray

16 February, 16:12

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

+1

Answers (1)

Know the Answer?

Eleanor Shelton · Answer 1

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

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 - 18B.) x2 - 9x - 18C.) x2 + 3x - 18D.) x2 + 17x - 18

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