Question

If a and B are the zeroes of the polynomial p(x) = x2 - p(x + 1)-c such that (a + 1) (B + 1) = 0, the c=

Answer 1

Answer:

p(x)=x2-p(x+1)-c

A.T.Q

(a+1)(b+1)=0

so from here

We got the value of a and b

so value of a=-1

b=-1

we put the value of a and b in the first eq.

so,

p(-1)=(-1)2-p(-1+1)-c

1+p-p-c=0

1-c=0(p and negative p will be cancelled)

so,. c=1