how can you quickly determine the number of roots a polynomial will have by looking at the equation?

How to find the roots of a polynomials by factoring

The equation has only one root x = 4. The highest power of the equation is 2 and will have two roots. So the equation has two roots. Therefore, we can determine the number of roots a polynomial will have by looking at the leading term of the equation.

Possible number of real roots | Polynomial and rational functions | Algebra II | Khan Academy

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