Question

find a quadratic polynomial whose zeroes are 7+2root2 and 7-2root 2

Answer 1

Hey!!!!

let S be the sum of the zeros and
let P be the product of the zeros

ATQ,
S = 7 + 2√2 + 7 - 2√2
=> S = 14

P = (7 + 2√2)(7 - 2√2)
=> 7² - (2√2)²
=>49 - 8
=> 41

Required Polynomial = k( x² - Sx + P )

=> k( x² - 14x + 41 )


Thus the required Quadratic Polynomial is x² - 14x + 41

Hope this helps