Quadratic Equations (VCE SSCE Mathematical Methods): Flashcards

$ax^2 + bx + c = 0$ where $a \neq 0$

Values of $x$ that make the equation true

Rearrange to standard form $ax^2 + bx + c = 0$

Factorise the quadratic expression

Apply the null factor theorem

If $mn = 0$, then $m = 0$ or $n = 0$ (or both)

The theorem only works when one side equals zero

Two (though they may be the same)

Two numbers that multiply to $c$ and add to $b$

Substitute back into the original equation