Choose the correct option from the given below options by solving the following question: If α, β are the zeros of the polynomial f(x)=x2−p(x+1)−c=0 such that(α+1)(β+1)=0, then c=?

# Choose the correct option from the given below options by solving the following question: If α, β are the zeros of the polynomial f(x)=x2−p(x+1)−c=0 such that(α+1)(β+1)=0, then c=?

1. A
1
2. B
0
3. C
-1
4. D
2

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### Solution:

We have, f(x)= x2 – p(x+1) – c=0
And    = 0
We have to find, c=?
f(x) = x2 – px – p – c=0
Here,    a=1, b= -p, c= - p – c
=    ----- (1)
Put the values in eq (1), we get
-p-c+p+1=0
-c+1=0
c= 1
Hence, Option (1) is the correct answer.

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