if the \alpha \: and \: \beta \: are \: the \: zeroes \: of \: polynomial \: {x}^{2} - p(x + 1) - c \: such \: that \: ( \alpha + 1) \: ( \beta + 1) = 0. \: then \: find \: the \: value \: of \: c.
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Answer:
we know that,
sum of zeroes= -b/a
________________________(1)
also,
product of zeroes= c/a_______________________(2)
Given:
______________________(3)
from (1) and (3)
now put this value in (3)
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