Add the proper constant to each binomial so that the resulting trinomial is a perfect square trinomial. Then factor the
trinomial.
-$x ^ { 2 } + 6 x +$________
A) $x ^ { 2 } + 6 x + \underline { 6 } = ( x + 36 ) ^ { 2 }$
B) $x ^ { 2 } + 6 x + 9 = ( x + 3 ) ^ { 2 }$
C) $x ^ { 2 } + 6 x + \underline { 3 } = ( x + 9 ) ^ { 2 }$
D) $x ^ { 2 } + 6 x + \underline { 36 } = ( x + 6 ) ^ { 2 }$

Question

Quizplus · Accepted Answer

To form a perfect square trinomial from $x^2 + 6x$, add $(\frac{6}{2})^2 = 9$. The resulting trinomial $x^2 + 6x + 9$ factors to $(x + 3)^2$.

Add the Proper Constant to Each Binomial So That the Resulting