Question

find the quadratic polynomial who zeros are 2 and -6

Answer 1

sum of the zeroes=a+b
=2-6=-4
product of zeroes=a×b=2×-6=-12

General form of polynomial

p (x)=x^2-(a+b)x+ab
=x^2-(-4)x+(-12)
=x^2+4x-12



Hence the required Polnominal
is x^2+4x-12


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Answer 2

Alpha =2 beta = - 6
Xsquare - 4x-12=0

Hope it helps you. Have a fruitful day ahead