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Find the quadratic polynomial if two zeroes are (2+√2) and (2-√2)

Posted by Arif Choudhury 5 years, 7 months ago

CBSE > Class 10 > Mathematics

1 answers

Yatin Sood 5 years, 7 months ago

Let zeroes be α=(2+√2) and β=(2-√2). Hence, α+β=(2+√2+2-√2) =4 And, αβ = (2+√2)(2-√2) ={(2)^2-(√2)^2} = 4-2 = 2 Therefore, quadratic polynomial = (x-α)(x-β) = x^2 -(α+β)x + αβ .......(I) On putting the value of (α+β) and αβ in equation (I) we get, quadratic polynomial = x^2 - 4x + 2

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