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Which value must be added to the expression x2 + 12x to make it a perfect-square trinomial? 6 36 72 144

Victoria Fowler

in Mathematics

1 answer

1 answer

Cynthia Baker on April 15, 2018

"The correct answer is 36.A perfect square trinomial can be taken into account in this way: (x+a)^2Note that (x+a)^2 = x^2 + (2a)x + a^2to find the missing number, we must take the 12 (12x-term) and divide it by two to get 6. This number squared will be the number that is missing in the end of the trinomial.We will verify that this is the correct answer.(x+6)^2 = x^2 + 12x + 36Indeed, 36 is the correct answer."

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