Question

Find the quadratic polynomial whose zeroes are √2 and 2+√2

Answer 1

Answer:-

Given zeroes are √2 and 2 + √2

Sum of zeroes:

α + β = √2 + 2 + √2

α + β = 2√2 + 2

Product of zeroes:

αβ = √2 ( 2 + √2)

αβ = 2√2 + 2

Required polynomial is given by:

f(x) = x² + (α + β)x + αβ

f(x) = x² + (2√2 + 2)x + (2√2 + 2)

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Answer 2

Step-by-step explanation:

third option is correct