Question

find the quartic polynomial whose zero is 5-3√2 and 5+3√2​

Answer 1

Answer:

If 5±32 are roots of polynomial then 

x−(5+32) and x−(5−32) are factors of the polynomial 

∴[x−(5+32)][x−(5−32)]

=x2−x(5−32+5+32)+(5+32)(5−32)

=x2−10x+(25−9(2))

=x2−10x+7