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Write a quadratic polynomial whose zeroes …

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Write a quadratic polynomial whose zeroes are 2-2

Posted by Sanju Khatana 5 years, 3 months ago

CBSE > Class 10 > Mathematics

2 answers

Yogita Ingle 5 years, 3 months ago

The zeroes 2 and -2.

∴ Sum of the zeroes = 2 +(-2) = 0

∴ Product of the zeroes = 2 × (-2) = -4

The required polynomial is x² - (sum of the zeroes) x + Product of the zeroes

⇒ x² - (0) x + (-4)

x² - 4

0Thank You

Shristi Upadhyay 5 years, 3 months ago

Here given zeroes of polynomial (2,-2) That means, alpha is 2 and Beta is -2 Now alpha+beta=2+(-2)=0 and alpha×beta=2×-2=-4 Then put these value in x2-(alpha+beta)x+alpha×beta x2-0x+(-4) X2+4 it is a polynomial

0Thank You

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CBSE > Class 10 > Mathematics