If α and β are the zeros of quadratic polynomial x2 + 3x - 2, find the value of α3 + β3.

asked Mar 20, 2021 74.6k views

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Answer:

$\alpha + \beta = -3/1 = -3 \\ \alpha \beta = -2/1 = -2$

$\alpha ^3 + \beta ^3$

$(\alpha + \beta )^3 - 3\alpha\beta (\alpha + \beta ) \\ (-3)^3 - 3(-2)(-3) \\ -27 - 18 = -45$

Polka answered Mar 26, 2021

by Polka

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