Question

Which statement is true about a model of a prime polynomial?

A) It cannot be modeled with a rectangle.
B) It can be modeled with a square.
C) It cannot be modeled with all positive tiles.
D) It can only be modeled with an odd number of tiles.

Answer 1

it can only be modeled with an odd number of tiless.

Answer 2

D. It can only be modeled with an odd number of tiles.

Explanation:

Let us define Prime Polynomial first, a polynomial with integer coefficients that cannot be factored into polynomials of lower degree, also with integer coefficients, is called an irreducible or prime polynomial.

Since it cannot be factored into polynomials of lower degree therefore the only option we are left with is, it can only be modeled with an odd number of tiles. Also set of all the prime numbers is a subset of the set of odd numbers.