1. Write a quadratic polynomial whose zeroes are ( root 2 + 1) ( root 2 - 1).

2.Show that one zero of 8x²+30x+27 is the square of the other.

3.If one zero of the polynomial 2x²+3x+lamda= 1/2,find the value of lamda and the other zero.

(1). The given zeroes are √2 + 1 and √2 - 1.

sum of zeroes = S = (√2 + 1) + (√2 - 1) = √2 + 1 + √2 - 1 = 2√2 

product of zeroes = P = (√2 + 1)(√2 - 1) = 2 - 1 = 1

So, the required quadratic polynomial is given by,

p (x) = x² - Sx + P

 =  x² - 2√2x + 1 

(2). Please follow the given link :

https://www.meritnation.com/ask-answer/question/show-that-one-zero-of-8x2-30x-27-is-the-square-of-the-other/polynomials/5173452

(3). Please follow the given link :

https://www.meritnation.com/ask-answer/question/ll-one-zero-of-rhe-polynomial-2x2-3x-kis-1-2-find-the-valu/polynomials/5781359