Factorise:

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 $-4$.

$x^{2}-10 x+24=x^{2}-6 x-4 x+24$

$=x(x-6)-4(x-6)$

$=(x-6)(x-4)$

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