Question

Let p be a prime number. The quadratic equation having its roots as factors of p is 

(a) x² - px +p = 0 

(b) x² - (p+1)x + p = 0 

(c) x² + (p+1)x + p = 0 

(d) x² - px + p + 1 = 0

Answer 1

(b) x² - (p+1)x + p = 0 

∵ P is a Prime numbers

∴ P & 1 are only factors of p.

∴ Quadratic equation having its roots as factors of p.

= Quadratic equation having its roots p & 1 .

⇒ (x - p) (x - 1) = 0

⇒ x² - (p +1)x + p = 0