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Find the quadratic polynomial whose sum …

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Find the quadratic polynomial whose sum of zeroes is 3 and product of zeroes is 2.

Posted by Akhil Shukla 4 years, 8 months ago

CBSE > Class 10 > Mathematics

3 answers

Pragati Kumari 4 years, 8 months ago

X² - 3x+2

Singh Saket 4 years, 8 months ago

Given:-a+b=3 and ab=2 Required quadratic polynomial =x2-(a+b)x+(ab) =x2-3x+2

Yogita Ingle 4 years, 8 months ago

Let α and β are the roots of given Quadratic polynomial.
Given:
α+β=3,αβ=2
Quadratic polynomial:
x²−(α+β)x+(αβ)
∴ Polynomial is x²−3x+2

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