Question

if sum of zeros = - 4 and product of zeros = 6 find quadratic equation​

Answer 1

Answer:

Let α and β be the zeros of a quadratic polynomial.

Given that α+β=−4 and αβ=3

One of the such polynomials is

p(x)=x

2

−(α+β)x+αβ

=x

2

−(−4)x+3=x

2

+4x+3

Answer 2

Answer:

Let α and β be the zeros of a quadratic polynomial.  

Given that α+β=−4 and αβ=3

One of the such polynomials is  

p(x)=x  

2

−(α+β)x+αβ

=x  

2

−(−4)x+3=x  

2

+4x+3