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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 x^2 + 14x to make it a perfect square trinomial. Write that-example-1
User Kojoru
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1 Answer

12 votes
12 votes

Answer:

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

User InFever
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