Polynomial Division (Edexcel A-Level Mathematics): Flashcards

Expression with only positive integer powers of $x$ and constants

The whole number part from division

What's left over after division

Divide leading term of dividend by leading term of divisor

Quotient $+$ $\frac{\text{Remainder}}{\text{Divisor}}$

Substitute value into $f(x)$ to find remainder

If $f(a) = 0$, then $(x-a)$ is a factor of $f(x)$

Linear only

Linear or greater

Multiply entire divisor by result, then subtract

Show $f(a) = 0$ using Factor Theorem

$c_0 + c_1x + c_2x^2 + c_3x^3 + \ldots$