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Relations between Roots and Coefficients : Higher Order Equations

If α and β ar...

Question

If $α$ and $β$ are roots of $x^{2}$ - x +2 =0, then $α^{2} β + α β^{2} =$

A

-2

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B

2

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C

5

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D

3

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Solution

The correct option is B
2

$α + β = 1, α β = 2$
$α β (α + β) = 1 \times 2 = 2$

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