Question

write a quadratic polynomial sum of whose zeroes is 4 and product is 1​

Answer 1

Answer:

⇒ Let α and β are zeros of 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

Step-by-step explanation:

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Answer 2

formula

k(x2-(sum of zeroes)x + product of zeroes where is a non zero constant

k(x2-4x+1) where k is an non zero constant

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quadratic polynomial =x2-4x+1 (Ans)