Question:
Factorise:
3y2 + 14y + 8
Solution:
The given expression is $3 y^{2}+14 y+8$
Find two numbers that follow the conditions given below:
Sum $=14$
Product $=24$
Clearly, the numbers are 12 and 2 .
$3 y^{2}+14 y+8=3 y^{2}+12 y+2 y+8$
$=3 y(y+4)+2(y+4)$
$=(3 y+2)(y+4)$
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