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The root of a polynomial f is a value for x where the polynomial value f(x) is zero.

For example, if the polynomial \displaystyle{ f(x) = 2x^2 + 10x - 28 } then \displaystyle{ f(2) = 2\cdot 2^2 + 10\cdot 2 - 28=0 }, so 2 is a root of this polynomial.

In fact, it can be seen that also -7 is a root of this polynomial.

 
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