Question

If and b are the zeroes of the polynomial x2-11x +30, Find the value of a3 + b3.

Answer 1

hi friend,

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Given,If and b are the zeroes of the polynomial x²-11x +30

→we know that a+b=11(-x coefficient/x² coefficient) and also ab=30 (constant term /x² coefficient)

Now, a³+b³=(a+b)³-3ab(a+b)

=11³-3(30)(11)

=1331-990

=341

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I hope this will help u ;)