Math, asked by bhargabpratim2019, 1 day ago

if the sum of zeros of the quadratic polynomial is 1 and its product is "-12" then the polynomial will be​

Answers

Answered by Nobita121
0

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Answered by prathamesh299
0

Answer:

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Step-by-step explanation:

Given: Sum fo zeroes =  (α+β)=8

Product of the zeroes = αβ=12

Required quadratic polynomial is 

x2−(α+β)x+αβ=x2−(8)x+12

Now , find the zeroes of the above polynomial.

Let f(x)=x2−(8)x+12

= x2−6x−2x+12

=(x−6)(x−2)

Substitute f(x)=0

(x−6)=0 or (x−2)=0 

⇒x=6 or x=2

2 and 6 are the zeroes of the polynomial .

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