Question

Factorise the equation $x^2-9x+18$.

Answer 1

Factorize the quadratic equation $x^2-9x+18$.

Split the middle term of the equation as $-6x-3x$, and take out the common terms.

$\begin{array}{rcl}& \Rightarrow & x^2-6x-3x+18=x\left(x-6\right)-3\left(x-6\right)\\ & =& \left(x-3\right)\left(x-6\right)\end{array}$

Hence, factors of the quadratic equation are $\left(x-3\right)$ and $\left(x-6\right)$.