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Monday 2 November 2020

1 and 2 are the zeros of the polynomial p(x) = (x - 1) (x - 2)

Verify that :- 1 and 2 are the zeros of the polynomial p(x) = (x - 1) (x - 2)

1 and 2 are zeros of polynomial means that if the value is substituted for x then the equation turns zero. 
So let's prove using x = 1, first 
\[p(x)=(x-1)(x-2)\]\[p(x)=(1-1)(1-2)\]\[p(x)=(0)(-1)\]\[p(x)=(0)\]
Since the equation turns to be zero, 1 is the zero of the polynomial. 
Now let's take x = 2 
Since the equation turns to be zero, 2 is also the zero of the polynomial. 

Hence Verified !! 
Hope it helps !! 
Cheers !!

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