Sarthaks Test
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Find α and β , if x + 1 and x + 2 are factors of x3 + 3x2 − 2αx + β.

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Let f(x) = x3 + 3x2 − 2αx + β be the given polynomial from factor theorem, if (x+1) and (x+2) are factors of f(x) then f(-1) = 0 and f(-2) = 0

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