Question

find the quadratic polynomial sum and product of whose zeroes are root three and 1/root three ​

Answer 1

Step-by-step explanation:

given that:- α = √3 & β = $\frac{1}{√3}$

required polyⁿ = x²-(α+β)x+αβ

= x²-(√3+$\frac{1}{√3}$)x+√3×$\frac{1}{√3}$

= x²-($\frac{3+1}{√3}$)x+1

= x²-$\frac{4}{√3}$x+1

= √3x²-4x-√3

Answer 2

Answer:the

zeros are √3 and 1/√3

sum of zeroes= √3+1/√3=3+1/√3=4/√3

product of zeroes = √3 ×1/√3=1

required polyⁿ = x²-(α+β)x+αβ

required polyⁿ = x²-(α+β)x+αβ= x^2-(4\√3)x+(1)

=x^2-4/√3x+1