if alpha and beta are the zeros of the polynomial 3x2-5x-2 find the value of alpha ^3 + beta^3
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Answer:
if alpha
Explanation:let alpha and beta be m and n
m + n = 5/3
mn = 2/3
alpha^3 + beta^3
= m^3 + n^3
= (m+n)^3 - 3mn ( m+n )
= (5/3)^3 - 3×(2/3) (5/3)
= ( 125/27) - (10/3)
= ( 125 - 90 ) /27
= 35 / 27
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