Question:
Factorise:
6x2 − 5x − 6
Solution:
The given expression is $6 x^{2}-5 x-6$.
Find two numbers that follow the conditions given below:
Sum $=-5$
Product $=-6 \times 6=-36$
Clearly, the numbers are $-9$ and 4 .
$6 x^{2}-5 x-6=6 x^{2}-9 x+4 x-6$
$=3 x(2 x-3)+2(2 x-3)$
$=(2 x-3)(3 x+2)$
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