Question

Find the quadratic polynomial whose zeroes are 3 + root 5 and 3- root 5

Answer 1

Here's your answer--------------

Given :3 -  √5 and 3 +  √5 are zeros of a polynomial.

let p(x) be required polynomial.

====> x - (3 + √5) and x - (3 - √5) are factors of p(x)

====> [x - (3 + √5)] [x - (3 - √5) is required polynomial

= [x - 3 - √5] [x - 3 + √5]

= x2 - 3x + √5x - 3x + 9 - 3√5 - √5x + 3√5 - 5

= x2 - 6x + 4

This is the required polynomial

【hope this will help ya☺️】