Question

Write a cubic polynomial whose zeroes are 2+ root 5 /2 , 2 - root 5 /2 and 4

Please answer urgently. And with proper steps to do it

Answer 1

The polynomial can be formulated by using its roots. If the roots of a cubic polynomial are a, b, and c, the polynomial is (x-a)(x-b)(x-c)
Here, the polynomial would be thus:

(x-2-√5/2)(x-2+√5/2)(x-4)

Multiplying out the terms,
(x²-4x+11/4)(x-4)
=x³-8x²+(75x/4)-11
This is the required cubic polynomial.

Answer 2

HOPE IT HELPS YOU

@RUKSHI