if alpha and beta are the zeroes of the quadratic polynomial fx =3x^2 -7x -6 ,find a polynomial whose zeroes are 2 alpha +3 beta(3 alpha +2 beta)
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Solution :
We have quadratic polynomial p(x) = 3x² - 7x - 6
Zero of the polynomial p(x) = 0
∴ α = 3 & β = -2/3 are two zeroes of the polynomial.
Now;
Zero of the polynomial α & β = 2α + 3β & 3α + 2β
Thus;
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