If sum of the zeroes of a polynomial is -8 and its product is 6 then form a polynomial whose zeroes are (@-ß) and (@+ß)
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New sum of zeroes=(α-β)+(α+β)
=2α
New product of zeroes=(α-β)(α+β)
=α²+αβ-βα-β²
=α²-β²
p(x)=k[x²-(new sum of zeroes)x+new product of zeroes]
p(x)=k[x²-2αx+α²-β²]
=2α
New product of zeroes=(α-β)(α+β)
=α²+αβ-βα-β²
=α²-β²
p(x)=k[x²-(new sum of zeroes)x+new product of zeroes]
p(x)=k[x²-2αx+α²-β²]
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