Find the zero of the polynomial x2-b x y-c y2 where -b-p-q and c-p q

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Zeroes of a Polynomial

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Question

Find the zero of the polynomial x²-bxy + cy²where -b =p-q and c =-pq

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‘- p’ and ‘q’ are the zeroes of the polynomial $x^{2} - b x + c$ . The zeroes of the polynomial $x^{2} - b x y + c y^{2}$ are:

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p

q

g (x) = x^{2} - 6 x + 9

p + q - p q

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