Question

find the quadratic polynomial whose sum and product of zeros are 2 root 3 minus 5 root 3

Answer 1

Hii friend,

Let Alpha and beta are the zeros of Quadratic polynomial.

Sum of zeros = (Alpha + Beta) = 2✓3

And,

Product of zeros = (Alpha × Beta) = -5✓3

Therefore,

QUADRATIC POLYNOMIAL = X²-(Alpha + Beta)X + Alpha × Beta.

=> X²-(2✓3)X + (-5✓3)

=> X²-2✓3X-5✓3


HOPE IT WILL HELP YOU...... :-)