It is given that
P(x)=2x3+9x2+13x+6P(x) = 2x^3 + 9x^2 + 13x + 6P(x)=2x3+9x2+13x+6
Use the factor theorem to show that (2x+3)(2x + 3)(2x+3) is a factor of P(x)P(x)P(x).
Express P(x)P(x)P(x) as a product of three linear factors.
Given that n n\,n is a positive integer, use your answer to part (b) to explain why 2n3+9n2+13n+62n^3 + 9n^2 + 13n + 62n3+9n2+13n+6 is never prime.