Question

Q.2 If L and B are zero's of the polynomial x-p (x+1)+c Luch that (L+1)(B+1) =0, then
find the value of C.
OD​

Answer 1

Explanation:

Relationship between Zeroes and Coefficients of a Polynomial

If α, β are the zeros of th...

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Asked on December 20, 2019 by

Lulu Subramaniam

If α,β are the zeros of the polynomial f(x)=x

2

−p(x+1)−c=0 such (α+1)(β+1)=0, then c=

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ANSWER

We have,

f(x)=x

2

−p(x+1)−c=0

f(x)=x

2

−px−(p+c)=0 .............(1)

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

Hence, this is the answer.