Finding Roots Using the Factor Theorem

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.

The problems about Finding Roots Using the Factor Theorem

Topic Problem Solution
None Find the roots of the function \( f(x) = x^3 - 6x… Use the Factor Theorem to check possible roots, which are the factors of the constant term, -6. In …