Rahul donated some money and books for poor children. money and books can be represented as zeroes of the polynomial p[ x ] = x^2 -x-2 . akarsh who is friend of rahul also got inspiried by him and donated the money and books in the form of a polynomial whose zeroes are -1 + 2 alpha and 1+ 2 beta . find the polynomial represented by akarsh s donation
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P(X) = (X+1–2a)×(X–1–2b)
= X² + (1–2a–1–2b)×X – (1–2a)×(1+2b)
= X² – 2×(a+b) X – (1 – 2×(a–b) –4ab)
= X² + (1–2a–1–2b)×X – (1–2a)×(1+2b)
= X² – 2×(a+b) X – (1 – 2×(a–b) –4ab)
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Step-by-step explanation:
the ans is x^2 -2x-3.........
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