Algebra IV (AQA GCSE Further Maths): Flashcards

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

Factorising, completing the square, quadratic formula

If product = 0, at least one factor must be 0

Move all terms to one side, leaving 0 on other

Halve it, then square that result

$x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}$

$b^2 - 4ac$

Two different real solutions

One repeated real solution

No real solutions

Parabola (U-shaped curve)

X-intercepts where curve crosses x-axis

$x = -\frac{b}{2a}$