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Solution


Q.

Let p be a prime number. The quadratic equation having its roots as factors of p is:
1 x² – px + p = 0  
2 x² – (p + 1)x + p = 0  
3 x² + (p + 1)x + p = 0        
4 x² – px + p + 1 = 0  

Ans.

(2)

Since p is a prime number, its factors are 1 and p itself. So, α = 1 and β = p.

General form of quadratic equation: x² – (sum of zeros)x + product of zeros = 0.

⇒ x² – (1 + p)x + p = 0 is the required quadratic equation.