Question

find the quard ratic polynomial if the zeroes of it is are 2 and –⅓​

Answer 1

Explanation:

Product of zeroes = 2 × -1/3 = -2/3. Therefore, Required quadratic polynomial = X²-(Sum of zeroes) X + Product of zeroes. => 3X² - 5X - 2.

Answer 2

Answer:

Here zeroes are :- 2 & -1/3

So....

Sum of the zeroes = 2+(-1/3)

=> 6-1/3

=>5/3

And...

Product of zeroes = 2×1/3

=> 2/3

Now....

The required polynomial is :-

=>x²-(sum of zeroes)x+product of zeroes

=> x²-5/3x+2/3=0

=>3x²-5x+2/3 = 0

=> 3x²-5x+2=0

Hence , The required polynomial is 3x²-5x+2