Question

find a quadratic polynomial whose zeroes are 5-2√6and 5+2√6​

Answer 1

Answer:

k[x^2 - (alpha + beta)x + alpha beta]

k[x^2 - (5- 2√6 + 5 + 2√6)x + (5- 2√6) (5 + 2√6)]

k[x^2 - (10)x + (25 - 24)]

k[x^2 - 10x + 1]

if k = 1

x^2 - 10x + 1