The Factor Theorem serves as an essential mathematical tool in identifying the roots of polynomials. It proposes that a factor (x-c) exists in a polynomial only when the polynomial's value at c is zero. Accordingly, to find the roots, it's necessary to determine the x values that render the polynomial zero.
| Topic | Problem | Solution |
|---|---|---|
| None | Find the roots of the function \(f(x) = x^3 - 9x^… | The factor theorem states that a polynomial \(f(x)\) has a factor \((x - k)\) if and only if \(f(k)… |