Question

6. Find the quadratic polynomial whose sum of zeros is 4 and product of zeros is 1.
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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

Answer:

x^2 - 4x + 1

Step-by-step explanation:

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