10. If a B are the zeroes of the polynomials f(x) = x2 + p(x + 1) + C, then (a + 1) (B + 1) =
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Step-by-step explanation:
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
Mark me as a brainliest plz :(
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