O Level Additional Mathematics - Remainder and Factor Theorems
O Level Additional Mathematics – Remainder and Factor Theorems
Notes 1. Remainder Theorem If a polynomial f(x) is divided by x – a, then the remainder, R = f(a). 2. Factor Theorem If f(a) = 0, then (x – a) is a factor of f(x) 3. Solutions of Equations To solve the equation f(x) = 0, first factorize f(x) by the Factor Theorem Eg . solve x3 – 2x2 – 5x + 6 = 0 Let f(x) = x3 – 2x2 – 5x + 6 Find a factor by trial and error eg, found that (x – 1) is a factor…
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