Question

find the quadratic polyjomial if its three zeroes are √3,-√3,√3​

Answer 1

Answer:

Let a=√3, b=-√3 & c=√3

a+b+c=√3+(-√3)+√3=√3

ab+bc+ca=√3×-√3+(-√3)×√3+√3×√3=3

abc=√3×-√3×√3=3√3

The required polynomial

P(x)={x^3-(a+b+c)x^2+(ab+bc+ca)x-.

abc}

=x^3-√3x^2+3x-3√3