Factorising II

Notes

Sometimes, our quadratics can look a little bit trickier. If they are of the form

a x^{2} + b x + c = 0

where $a \neq 1$ they are harder to factorise. For these harder quadratics, we're going to learn a method called splitting the middle.

As before, it is important to get $0$ on one side of the equation before we begin.

Example

Solve the following equations:

$2 y^{2} - 7 = 5 y$
$- 8 x^{2} - 24 x + 11 = - 3$
$2 p^{2} - 12 p + 21 = 3$

Exercise