Question

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

Answer 1

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  

x  

2

−(α+β)x+αβ=x  

2

−(8)x+12

Now , find the zeroes of the above polynomial.

Let f(x)=x  

2

−(8)x+12

= x  

2

−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 .