Question

If α and β are zeroes of the polynomial P(x) = x² – 5x + 4, find the value of α³ + β³ and α³−β ³
Hint : use identities.

Answer 1

Look I will tell you how to do this.

First factorize.

X² -5X +4.

Put the value of X and you will get the answer.

X² - 4X - X +4 = 0

X = 4,1

ẞ = 4

Alpha = 1.

Answer 2

.sorry but I am not solve 2nd part because I am in doubtful ...

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but I am solve your first part ..please refer the above attachment...