Question

Write a quadratic polynomial, sum of whose zeroes is 3root3 and their product is 6.

Answer 1

Heya !!!


Sum of zeroes = Alpha + Beta = 3✓3


And,


Product of zeroes = Alpha × Beta = 6


Therefore,


Required Quadratic polynomial = X²-(Sum of zeroes)X + Product of zeroes



=> X²-(3✓3)X + 6



=> X²-3✓3X+6.




HOPE IT WILL HELP YOU....... ;-)

Answer 2

Heya !!!

Here is your answer.

Given :
Sum of zeroes = 3√3
Product of Zeroes = 6.

Using the quadratic equation...
p(x) = kx² - (sum of zeroes)x + (product of zeroes)

p(x) = x² - 3√3x + 6


Hope It Helps