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WHAT TERM SHOULD BE ADDED TO CREATE A PERFECT SQUARE TRINOMIAL?

PLEASE EXPLAIN AND GIVE ANSWER.

x^2+18x

1 Answer

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Answer: We should add the constant 81 to the expression to have a perfect square trinomial.

The perfect square trinomial that would be formed would result from (x + 9)^2.

We can use foil to prove it.

(x + 9)(x + 9)
x^2 + 9x + 9x + 81
x^2 + 18x + 81

81 is the value that must go with 18x in the middle to form the perfect square trinomial.
User Mattu
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