1 Expert Answer The third term must be a perfect square as well. The general form of the factored trinomial will be: (x + a)(x + b) [since the coefficient of x2 is 1, which is also a perfect square] Now, what two numbers added together equal 14 that would provide a perfect square for the third term? How about 7 and 7; 7 + 7 = 14 and 7 * 7 = 49 (x + 7)(x + 7) = x2 + 14x + 49 (the number we need to add)
Answer: d. 49 Step-by-step explanation: A perfect square trinomial means that you can square the first and the third term and it would give you a whole number answer. The only answer that is a perfect square is d. 49, which gives 7. |