What is the meaning of integral root ?

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The numbers which satisfy the value of a polynomial are called its roots. 

The roots which are integers i.e not irrational or imaginary are called integral roots
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Hi , Shaimano can you please give me some examples also ..☺
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x² - 3x + 2 

the Integral Roots would be x = 1 and 2. The way you get there is to simplify the polynomial and set it equal to zero: 

(x - 1)(x - 2) = 0 
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What are you looking for?