If a + b + c = 7, ab + bc + ca = 0 and abc = - 36, then the value of (x – a) (x – b) (x – c) is
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Answer:
x^3 -7x^2 +36
Step-by-step explanation:
GIVEN:-
α+β+y = 7,
αβ+βy+yα = 0
αβy= -36
x^3 - (α+β+y)x^2 + (αβ+βy+yα)x - (αβy)
(x-a)(x-b)(x-c) = x^3 - 7x^2 + (0)x -(-36)
⇒ x^3 - 7x^2 +36
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