Answer:
None
Step-by-step explanation:
Prime polynomial : It is defined as that polynomial which can not be factorized into polynomial of lower degree , also with integer coefficient .
1.[tex]3x^3+3x^2-2x-2[/tex]
[tex]3x^2(x+1)-2(x+1)[/tex]
[tex](x+1)(3x^2-2)[/tex]
[tex](x+1)(\sqrt 3x+\sqrt2)(\sqrt3x-\sqrt2)[/tex]
It is not prime polynomial because it can be factorized into polynomial of lower degree.
2.[tex]3x^3-2x^2+3x-4[/tex]
[tex](x-1)(3x^2+x+4)[/tex]
It is not a prime polynomial because it can be factorized into polynomial of lower degree.
3.[tex]4x^3+2x^2+6x+3[/tex]
[tex]2x^2(2x+1)+3(2x+1)[/tex]
[tex](2x+1)(2x^2+3)[/tex]
It is not prime polynomial because it can be factorized into polynomial of lower degree.
4.[tex]4x^3+4x^2-3x-3[/tex]
[tex]4x^2(x+1)-3(x+1)[/tex]
[tex](x+1)(4x^2-3)[/tex]
It is not a prime polynomial because it can be factorized into polynomial of lower degree.
Answer:None
