Question

1
Find a quadratic polynomial with sum of its zero being--and the product of zero
4
is 1/4​

Answer 1

Answer:

x2-4x+1=0

Step-by-step explanation:

Let α and β are zeros of required quadratic polynomial.

⇒ α+β=4 ---- ( 1 ) [ given ]

⇒ αβ=1 ----- ( 2 ) [ Given ]

The required polynomial,

x2 −(α+β)x+(αβ)=0

Now, using ( 1 ) and ( 2 )

⇒ x2-4x+1=0