Question 2 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=0We need to find quadratic equation having its roots as factors of p is
Since p is a prime number
Factors of p = 1, p
Thus, we need to find quadratic equation with roots 1 and p
Required quadratic equation is
x2 − (Sum of roots)x + Product of roots = 0
Putting values
𝑥^2−(1+𝑝)𝑥+(1 × 𝑝)=0
𝒙^𝟐−(𝟏+𝒑)𝒙+𝒑=𝟎
So, the correct answer is (b)

Made by

Davneet Singh

Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 14 years. He provides courses for Maths, Science and Computer Science at Teachoo

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