Question

The sum and the product of the zeroes of a quadratic polynomial are 1/2 and -1/2 respectively, then the polynomial is

Answer 1

Answer:

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

Step-by-step explanation:

x^2-1/2x-1/2=0

2x^2-x-1=0 this is your solution I hope it was helpful for you.

Answer 2

Answer:

alpha + beta =1/2

alpha × beta =-1/2

formula for finding polynomial

k[ Xsquare - (alpha +beta)X + (alpha × beta)]

=k[X square-1/2X +(-1/2)]

=k[X^2- 1/2X - 1/2]

=1/2[2X^2 -X- 1]

therefore polynomial is

2X^2 -X -1

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