The value of p for which (x - p) is a factor of x 3 - px 2 + x + 5 is:

Given,

f(x) = x³ - px² + x + 5

⇒ x - p = 0

⇒ x = p.

Since, (x - p) is the factor of f(x), thus f(p) = 0.

f(p) = (p)³ - p(p)² + p + 5

⇒ 0 = p³ - p³ + p + 5

⇒ 0 = p + 5

⇒ p = -5.

Hence, option 1 is the correct option.