Find the third zero of the polynomial, if the sum and product of whose zeroes are -3 and 2.

Answer:
Let our Zeros are α  And β And
Given
α  + β = -3
And
α β = 2
And our polynomial is As:
α  ) ( β ) = 0
x2 - ​α - ​ β α β ) = 0
 
x2 - ( ​α +  β ) +  α β = 0
 Substitute value we get

x2 + 3x + 2 = 0
Now we can find its zeros by splitting the middle term method As:

x2 + 2x + 2 = 0
+ 2 ) +1 ( + 2 ) = 0
+ 1 ) ( + 2 ) = 0
So zeros are
α  = -1 
And
β = -2                       ( Ans ) 

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