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If α and β are the zeroes of , the value of (1 + α)(1 + β) is:

Class 10Zeroes and CoefficientsAlgebra — Polynomials
  • A19
  • B4
  • C20
  • D88

Step-by-Step Solution

Expand before substituting: . With and this is — the zeroes themselves are irrational, so there is no need to find them. 19 forgets the leading 1; 4 computes , flipping the sign of the sum; 88 just multiplies 8 by 11.
Answer: C) 20

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