Question

Find a quadratic polynomial whose zeroes are 5-3√2 and 5+3√2​

Answer 1

Given zeros are:

$5 + 3 \sqrt{}2 \\ and \: 5 - 3 \sqrt{}2$

Sum of the zeros:

$= 5 + 3 \sqrt{}2 + 5 - 3 \sqrt{}2 \\ = 10$

The required quadratic polynomial is

x^2-(Sum if the zeros)x+Product of the zeros.

That is equal to

$x {}^{2} - 10x + 7$

Therefore,The quadratic polynomial is

$x {}^{2} - 10x$

HOPE IT HELPS YOU DEAR..........

WITH LOVE, ARCHANA:-)