Using Factors to Solve Quadratic Equations (Leaving Cert Mathematics): Quizzes

If 2 numbers multiply to 0, at least 1 is 0

Rearrange so equation equals zero

Multiply to $c$, add to $b$

Factor out common factor $x$

$a^2 - b^2 = (a-b)(a+b)$

$x = 0$ or $x = 4\frac{1}{2}$

At the solutions of the equation

Two

It doesn't make practical sense

Substitute back into original equation

Common factors

$x = 7$ or $x = -2$