Question

find the quadratic polynomial whose zeros are - 1/2 and-1/2​

Answer 1

Given the roots of quadratic polynomial are

let A=1/2 ,B=-1/2

we know the formula

[x²-(sum of roots)x + (product of roots)] K

so, A+B= 1/2 + (-1/2)

= 0

A.B =1/2 x -1/2

= -1/4

substitute them in the equation (1) to get the quadratic polynomial

= [x²-(0)x + (-1/4)] K

= (x²-1/4)K.

[K =4] {k is the value which is present in the denominator}

so,the final equation is

4x²- 1

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