Question

Which of the following is a quadratic polynomial whose zeroes are 5 + √2 and 5 - √2 ?
1. x² - 10x - 23
2. x² + 10x +23
3. x² - 10x + 23
4. x² + 10x - 23​

Answer 1

Answer:

(5+√2) and (5-√2) are zeroes of p(x)

take them as α & β

α+β = 5+√2+5-√2 = 5+5 = 10

αβ = (5+√2)(5-√2)

5(5-√2)+√2(5-√2)

25-5√2+5√2-2

25-2

23

p(x) = x²-(α+β)x+αβ

= x²-10x+23

option 3

hope it helps.....