Question

find the quadratic polynomial thr sum and products of whose zeroes are √3, 1÷2​

Answer 1

Answer:

2x^2-2root3+1

Step-by-step explanation:

Let the zeros of required polynomial be M,N.

Given: M+N=root3 ; and M×N= 1/2.

So, the quadratic polynomial whose zeros are M and N is given by

x^2-(M+N)x+M×N

= x^2-root3x+1/2

= (2x^2-2root3+1)/2

= 2x^2-2root3+1.

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