Algebra and Series (AQA A-Level Further Maths): Flashcards

Relationships between polynomial coefficients and roots

$\alpha + \beta = -\frac{b}{a}$

$\alpha\beta = \frac{c}{a}$

$\alpha + \beta + \gamma = -\frac{b}{a}$

$\alpha\beta\gamma = -\frac{d}{a}$

$\frac{c}{a}$

$(\alpha + \beta)^2 - 2\alpha\beta$

$x = \frac{y - c}{m}$

$x = \frac{1}{y}$

Alternating: negative, positive, negative, ...