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Step-by-step explanation:
Given:-
The zeroes are 2 and -1/3
To find:-
Find the Quadratic Polynomial if it's zeroes are 2 and -1/3?
Solution:-
Given zeroes are 2 and -1/3
Let α = 2 and β = -1/3
We know that
If α and β are the zeores then the quardratic polynomial is K[x^2-(α+β)x+αβ]
On Substituting these values in the above formula then
=> K[x^2-(2+(-1/3))x+(2)(-1/3)]
=>K[x^2-{(6-1)/3}x+(-2/3)]
=>K[x^2-(5/3)x+(-2/3)]
=>K[(3x^2-5x-2)/3]
If K = 3 then the Polynomial is
=> 3[3x^2-5x-2)/3]
On cancelling 3 then we get
=> 3x^2-5x-2
The Polynomial = 3x^2-5x-2
Answer:-
The required Polynomial whose zeroes are 2 amd -1/3 is 3x^2-5x-2
Used formulae:-
- If α and β are the zeores then the quardratic polynomial is K[x^2-(α+β)x+αβ]
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