In a word, yes. Any simplified form that has 3 terms is a trinomial, but is often in the form ax2 +bx +c where a,b,c are real numbers.
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x2+14x+49 = (x+7)(x+7) when factored
Yes because if x2-14x+49 then it is (x-7)(x-7) when factored
-12
51.07142857142857
x2 - 14x = -49 ∴ x2 - 14x + 49 = 0 ∴ (x - 7)2 = 0 ∴ x = 7