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(a-b)^2 Expansion and Visualisation

If x4+2x3-4...

Question

If $x^{4} + 2 x^{3} - 4 x^{2} - 4 x + 4 = 0$ , then $2 s_{1} - s_{2} + s_{3} - s_{4}$ is equal to

3

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0

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Solution

The correct option is B $0$
For $x^{4} + 2 x^{3} - 4 x^{2} - 4 x + 4 = 0$
$s_{1} = - 2 s_{2} = - 4 s_{3} = + 4 s_{4} = + 4$
Gives,
${2 s}_{1} - s_{2} + s_{3} - s_{4} = - 4 + 4 + 4 - 4 = 0$

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