The standard form perfect square polynomial is :
(x + a)² = x² + 2ax + a²
In the given polynomial : x² + 14x
Divide 14 by 2
14/2 = 7
So, the expression will be express as :
on compare with standard equation we get a = 7
to make the given expression into perfect square we need a²
Since, a = 7
So, a² = 49
The exprssion will be: x² + 14x + 49
Answer: The perfect square is x² + 14x + 49