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Formation of a Quadratic Equation From It's Roots

If lsquo;a...

Question

If ‘alpha’ and ‘beta’ are the zeroes of the quadratic polynomial f(x) = 3x2-5x-2,then evaluate alpha^3*beta + beta^3alpha

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Solution

Dear Student,
$f (x) = 3 x^{2} - 6 x + x - 2 = 0 = 3 x (x - 2) + 1 (x - 2) = 0 (3 x + 1) (x - 2) = 0 H e n c e z e r o e s a r e - 1 / 3 a n d 2 l e t α = - 1 / 3 a n d β = 2 α^{3} + β^{3} = \frac{- 1}{27} + 8 = \frac{215}{27}$

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Formation of a Quadratic Equation From It's Roots

Standard X Mathematics

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