Write a quadratic polynomial whose zeroes are 2-2

1.	Write a quadratic polynomial whose zeroes are 2-2
Answer» The zeroes 2 and -2.\xa0∴ Sum of the zeroes = 2 +(-2) = 0∴ Product of the zeroes = 2\xa0× (-2) = -4\xa0The required polynomial is x2\xa0- (sum of the zeroes) x + Product of the zeroes\xa0⇒ x2\xa0- (0) x + (-4)x2\xa0- 4\xa0 Here given zeroes of polynomial (2,-2)That means, alpha is 2 and Beta is -2Now alpha+beta=2+(-2)=0 and alpha×beta=2×-2=-4Then put these value in x2-(alpha+beta)x+alpha×betax2-0x+(-4)X2+4 it is a polynomial

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