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Factor theorem - Polynomial Functions

Factor theorem

Factoring theorem is usually used to factor and find the roots of polynomials. A root or zero is where the polynomial is equal to zero. Therefore, the theorem simply states that when f(k) = 0, then (x – k) is a factor of f(x).


\cdot Factor Theorem: (axb)(ax-b) is a factor of the polynomial P(x)P(x), if and only if P(ba)=0P(\frac{b}{a})=0.
\cdot Note that the Factor Theorem is simply a result of the Remainder Theorem when the remainder = 0.
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Factor theorem

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