MATH SOLVE

2 months ago

Q:
# Which polynomial is prime? x3+3x2-2x-6 x3-2x2+3x-6 4x4+4x3-2x-2 2x4+x3-x+2

Accepted Solution

A:

A prime polynomial is a polynomial that can't be factored.In order to check which polynomial is prime, we need to check which polynomials could be factored.x^3 + 3x^2 β 2x β 6 can be factored as (x+3)(x^2-2)x^3 β 2x^2 + 3x β 6 can be factored as (x-2)(x^2+3)4x^4 + 4x^3 β 2x β 2 can be factored as 2(x+1)(2x^3-1)2x^4 + x^3 β x + 2 can't be factored.Therefore, 2x^4 + x^3 β x + 2 is a prime polynomial.