Question

Which polynomial is prime?


A. 3x3 + 3x2 – 2x – 2

B. 3x3 – 2x2 + 3x – 4

C. 4x3 + 2x2 + 6x + 3

D. 4x3 + 4x2 – 3x – 3

Answer 1

$3x^3 + 3x^2-2x-2=(x+1)(3x^2-2) \\ 3x^3-2x^2 + 3x-4=(x-1)(3x^2+x+4) \\ 4x^3 + 2x^2 + 6x + 3=(2x^2+3)(2x+1) \\ 4x^3 + 4x^2-3x-3=(4x^2-3)(x+1)$
None of the polynomials is prime.

Answer 2

Answer:

c. 4x3+2x2+6x+3