If α and β are zeroes of quadratic polynomal
f(x) = 3x²-5x-2, find the vale of α³+β²
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ANSWER :
The answer is 73/9
EXPLANATION :
3x² - 5x - 2 =0
3x²+ x - 6x - 2 =0
x(3x+1) - 2(3x+1) = 0
(x-2)(3x+1) = 0
x = 2
Or x = - 1/3
α = 2
β = - 1/3
α³+β² = 8 + (-1/3)²
= 8 + 1/9
= 73/9
The answer is 73/9
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