Question:
Factorise:
2x2 − 17x − 30
Solution:
The given expression is $2 x^{2}-17 x-30$.
Find two numbers that follow the conditions given below:
Sum $=-17$
Product $=-30 \times 2=-60$
Clearly, the numbers are $-20$ and 3 .
$2 x^{2}-17 x-30=2 x^{2}-20 x+3 x-30$
$=2 x(x-10)+3(x-10)$
$=(2 x+3)(x-10)$
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