Question

If α and β are the zeros of the polynomial f (x) = x ² - p(x+1) - c such that
(α+1)(β+1) = 0 , find the value of c

Answer 1

Answer:

1

We have,

f(x)=x

2

−p(x+1)−c=0

f(x)=x

2

−px−(p+c)=0

Since,

α,β are the zeroes of the above polynomial.

So,

α+β=p

αβ=−(p+c)

Since,

(α+1)(β+1)=0

αβ+α+β+1=0

−p−c+p+1=0

−c+1=0

c=1

Answer 2

Answer:

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