Question

Find a quadratic polynomial one of whose zeroes is (2 − √3) and sum of the zeroes is 4 ​

Answer 1

Explanation:

One root α=2+

5

and another say β

Sum of roots=α+β=4

⇒2+

5

+β=4

⇒β=2−

5

Polynomials, p(x)=(x−2−

5

)(x−2+

5

)

p(x)=x

2

−4x−1