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What term should be added to create a perfect square trinomial?x^2 + 14x

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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 :


x^2+14x=x^2+2*7x

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

User Damilola Boiyelove
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