Find the quadratic polynomial the sum of zeroes is 8 and product of zeroes is 12 find the zeroes of polynomial
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Answer :
Sum of zeroes =8
Product of zeroes = 12
Therefore,
the required polynomial will be = x^2-8x+12.
Now , f (x) =x^2- 8x+12=0
= x^2- 6x-2x+12=0
= x ( x- 6) -2 ( x-6)=0
= (x-6)(x-2)=0
Therefore the answer will be 6 and 2 .
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