Question

Find a quadratic polynomial whose sum of zeroes is 4 and product of zeroes is 3​

Answer 1

Answer:

⇒  Let α and β are zeros of the required quadratic polynomial.

⇒  α+β=4                 ---- ( 1 )        [ given ]

⇒  αβ=1               ----- ( 2 )          [ Given ]

The required polynomial,

x^2 −(α+β)x+(αβ)=0

Now, using ( 1 ) and ( 2 )

⇒  x^2 −4x+1=0          

Answer 2

Answer:

• quadratic equation=
• ${x}^{2} - 4x + 3$