Factor Theorem (AQA A-Level Mathematics): Flashcards

$f(a)$

$(x-a)$ is a factor of $f(x)$

Evaluate $f(a)$; if $f(a) = 0$, it's a factor

Quicker way to find remainder

x = rac{2}{3} (from $3x-2=0$)

Use polynomial division to find quotient, then factor it

Factorize fully, set each factor to 0

$f(-1) = 0$

Create simultaneous equations using factor theorem

Remainder theorem