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Let alpha and beta are the zeroes of a quadratic polynomial 2x²-5x-6 then form a quadratic polynomial whose zeroes are alpha+beta and alpha×beta

f(x) = 2x2 -5x - 6

roots of above quadratic equation are  and
roots of above quadratic equation are  and
Hence and
If roots of a quadratic equition are (α + β ) and ( α β ) , then quadratic equation is

g(x) = x2 - (α + β + α β ) x + (α + β ) ( α β )

Answered by Thiyagarajan K | 15 Jun, 2022, 02:43: PM

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