Question

Write a polynomial whose zeroes are:(i) 3+√2 and 3-√2​

Answer 1

Answer:

$k{ {x}^{2} - ( \alpha + \beta )x + \alpha \beta }$

sum of the zeroes=3+√2+3-√2

=6

product of the zeroes=(3+√2)(3-√2)

3²-(√2)²=9-2=7

k[x²-(6)x+7]

when x=1, the required quadratic polynomial=x²-6x+7.