Find the term that should be added to the expression to form a perfect square trinomial. Write the resulting perfect square trinomial in factored form.
-$x^{2}+18 x+$
A) $81 ;(x-9)^{2}$
B) $81 ;(x+9)^{2}$
C) $324 ;(x+18)^{2}$
D) $0 ;(x+9)\}^{2}$

Question

Quizplus · Accepted Answer

The term needed to complete the square is found by taking half of the coefficient of $x$ (which is $18$) and squaring it, resulting in $81$. Thus, the perfect square trinomial is $x^{2}+18x+81$, which factors to $(x+9)^{2}$.

Find the Term That Should Be Added to the Expression x2+18x+x^{2}+18 x+x2+18x+

Find the Term That Should Be Added to the Expression $x^{2}+18 x+$