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Add the Proper Constant to Each Binomial So That the Resulting

Question 194

Multiple Choice

Add the proper constant to each binomial so that the resulting trinomial is a perfect square trinomial. Then factor the
trinomial.
- x2+13x+x ^ { 2 } + \frac { 1 } { 3 } x + ____


A) x2+13x+19=(x+13) 2x ^ { 2 } + \frac { 1 } { 3 } x + \frac { 1 } { 9 } = \left( x + \frac { 1 } { 3 } \right) ^ { 2 }
B) x2+13x+36=(x+6) 2x ^ { 2 } + \frac { 1 } { 3 } x + \underline { 36 } = ( x + 6 ) ^ { 2 }
C) x2+13x+16=(x+13) 2x ^ { 2 } + \frac { 1 } { 3 } x + \frac { 1 } { 6 } = \left( x + \frac { 1 } { 3 } \right) ^ { 2 }
D) x2+13x+136=(x+16) 2x ^ { 2 } + \frac { 1 } { 3 } x + \frac { 1 } { \underline { 36 } } = \left( x + \frac { 1 } { 6 } \right) ^ { 2 }

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