Question

The quadratic polynomial whose sum of zeros is 4 and the product of 0 is 1

Answer 1

Answer:

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MATHS

Find a quadratic polynomial for which the sum of zero is 4 and product is zero is 1.

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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

Answer:

Hence, x^2-4x+1 is the required answer.