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

A trinomial is an algebraic expression that has three terms. An algebraic expression consists of variables and constants of one or more terms.

The polynomial [tex]\rm x^2 - 9x - 18[/tex] 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:

[tex]\rm x^2 - 7x - 18[/tex] 9 and -2

[tex]\rm x^2 - 9x - 18[/tex] 10.68465844 and -1.684658438

[tex]\rm x^2 + 3x - 18[/tex] 3 and -6

[tex]\rm x^2 + 17x - 18[/tex] 1 and -18

Hence, the trinomial is prime equation is[tex]\rm x^2 -9x-18[/tex].

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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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What is the trinomial?

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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