Question

If the sum and products of the roots of the quadratic polynomial are 1/3 and - 1/3 respectively then the quadratic polynomial is​

Answer 1

Step-by-step explanation:

This is the right answer

Answer 2

Answer:

The answer is  3x²-x -1 .  

Step-by-step explanation:

Given data :

sum of the roots of a quadratic polynomial = 1/3

product of the roots of a quadratic polynomial = -1/3

Note: Let α, β be the roots of the quadratic polynomial, then the quadratic polynomial is   x²- (α+β)x +αβ  

here α+β = sum of the roots

        αβ = product of the roots  

Therefore, required polynomial = $x^{2} -(\frac{1}{3} )x +(\frac{-1}{3} )$  

                                                    = 3x²-x -1