Find the number to add to x^2 + 14x to make it a perfect square trinomial. Write that trinomial as the square of a binomial.

Find the number to add to x2 14x to make it a perfect square trinomial Write that trinomial as the square of a binomial class=

Respuesta :

Answer:

Option 2

Step-by-step explanation:

Divide the co efficient of 'x' by 2 and the square the result.

14 ÷2 = 7

7² = 49

To make it a perfect trinomial, 49 should be added

x² +14x + 49 = x² + 2*x *7  + 7²        {Compare with a²+ 2ab + b² = (a +b)²}

                   = (x +7)²