Factorise:
Question:

Factorise:
6p2 + 11p − 10

Solution:

The given expression is $6 p^{2}+11 p-10$.

Find two numbers that follow the conditions given below:

Sum $=11$

Product $=6 \times-10=-60$

Clearly, the numbers are 15 and $-4$

$6 p^{2}+11 p-10=6 p^{2}+15 p-4 p-10$

$=3 p(2 p+5)-2(2 p+5)$

$=(2 p+5)(3 p-2)$