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

2 thoughts on “write a quadratic polynomial sum of whose zeroes is 4 and product is 1​”

1. 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)

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2. 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:

   thank you❤❤

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