Question

Form a quadratic polynomial with the sum and product of it's zeroes as √2 and ⅓

Answer 1

hi friend,

given, sum of zeros is √2

product of zeros is ⅓

→required quadratic equation is

x²-(sum of zeros)x+product of zeros=0


→x²-√2x+⅓=0

→3x²-3√2x+1=0

I hope this will help u :)

Answer 2

Hey there !!

Sum of zeros = √2

Product of zeros = 1/3

Quadratic polynomial :-

x²- (sum of zeros) x +product of zeros =0


= x²-√2x+ 1/3=0

For removing the denominator , multiply by 3.

Then we get ,


= 3x²- 3√2x + 1 = 0


Hope this Helps You !!!