Question

find a quadratic polynomial whose one zero is 2 + √5.​

Answer 1

Answer:

Sum of zeros =5−5=0.

Products of zeros =5×−5=−25.

Hence, the quadratic polynomial is =kx2+(sum of zeros)x+product of zeros.

Putting the values in quadratic polynomial =kx2−0+(−25).

Hence, the quadratic polynomial is kx2−25, where k is constant.