Question

Find a polynomial whose zeros are Root 2 and minus root 2

Answer 1

Step-by-step explanation:

Let the zeroes of the quadratic polynomial be α=

2

,β=2

2

Then, α+β=

2

+2

2

=

2

(1+2)=3

2

αβ=

2

×2

2

=4

Sum of zeroes =α+β=3

2

Product of zeroes =αβ=4

Then, the quadratic polynomial =x

2

−( sum of zeroes )x+ product of zeroes =x

2

−(3

2

)x+4

=x

2

−3

2

x+4