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Roots & Solutions
What is the deal with roots solutions?
The solution of a polynomial equation , f(x) , is the point whose root, r, is the value of x when f(x) = 0. Confusing semantics that are best clarified with a few simple examples.
| Equation |
Solution |
Root |
| f(x) = 3x +1 |
(0,3) since that is the point at which f(x) is zero |
3 because it is the value of x for which f(x) = 0 |
| f(x) = x2 +3x +2 |
(0,-1) and (0,-2) are the solutions to this equation since -1 and -2 are the values for which f(x) =0 |
-2 and -1 are the roots |
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Graphing Calc
