Question: Factorise:
x2 − 10x + 24
Solution:
The given expression is $x^{2}-10 x+24$.
Find two numbers that follow the conditions given below:
Sum $=-10$
Product $=24$
Clearly, the numbers are $-6$ and $-4$.
$x^{2}-10 x+24=x^{2}-6 x-4 x+24$
$=x(x-6)-4(x-6)$
$=(x-6)(x-4)$
