Question

find a quadratic polynomial whose zeroes are 5-3√2 and 5+3√2 ( give the solution)​

Answer 1

$\huge \mathscr{\orange {\underline{\pink{\underline {Answer:-}}}}}$

If 5+3√2 are roots of polynomial

Then ,

x−(5+3√2) and x−(5−3√2) are factors of the polynomial 

∴[x−(5+3√2)][x−(5−3√2)]

=x²−x(5−3√2+5+3√2)+(5+3√2)(5−3√2)

=x²−10x+(25−9(2))

=x²−10x+7