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Sum of n Terms

If α and ...

Question

If $α$ and $β$ are zeros of the polynomial $2 x^{2} - 4 x + 5$ , find the values of:
$α^{3} + β^{3}$

A

- 7

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B

1

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C

7

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D

None of these

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Solution

The correct option is D $- 7$
$α^{3} + β^{3} = (α + β)^{3} - 3 α β (α + β) = (\frac{4}{2})^{3} - 3 \cdot (\frac{5}{2}) ((\frac{4}{2})) = 8 - 15 = - 7$

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