Question

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.

Answer 1

Option 2

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