Factorize the following polynomials:

p(x) = 5x² + 11x + 6

Examine the validity of the following statements:

(x — 3) is a factor of p(x) = x² — 2x — 3

Factorize the following polynomials:

p(x) = x³ —x²—x + 1

Factorize the following polynomials:

p(x) = x³ — 3x² + 9x — 27

Factorize the following polynomials:

p(x) = x³ + 2x² + 3x + 2