Question

find a qudratic polynomial whose zeroes are √2+3 and √2-3​

Answer 1

let a and b are the zeroes

a = √2 + 3

b = √2 - 3

the formula for making a quadratic equation is:

x^2 - (a + b)x + ab

x^2 - (√2+3 + √2-3)x + (√2+3)(√2-3)

x^2 - (2√2)x + (√2)^2 - (3)^2

x^2 - 2√2x + 2 - 9

x^2 -. 2√2x - 7