A-Level Maths Edexcel 9MA0

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#13 Factor theorem

The bfactor theorem/b states that if (f(a)=0) when a polynomial (f(x)) is divided by ((x-a)), then ((x-a)) is a factor of (f(x)).

The factor theorem is useful for factorising cubic and quartic expressions.

Tip: Use your calculator to test different values of (a) to quickly determine whether ((x-a)) is a factor of a polynomial (f(x)).

The bfactor theorem/b states that if (f(a)=0) when a polynomial (f(x)) is divided by ((x-a)), then ((x-a)) is a factor of (f(x)).