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Add the Proper Constant to the Binomial So That the Resulting

Question 230

Multiple Choice

Add the proper constant to the binomial so that the resulting trinomial is a perfect square trinomial. Then factor the
trinomial.
- x2+16xx ^ { 2 } + \frac { 1 } { 6 } x


A) x2+16x+144=(x+12) 2x ^ { 2 } + \frac { 1 } { 6 } x + 144 = ( x + 12 ) ^ { 2 }
B) x2+16x+1144=(x+112) 2x ^ { 2 } + \frac { 1 } { 6 } x + \frac { 1 } { 144 } = \left( x + \frac { 1 } { 12 } \right) ^ { 2 }
C) x2+16x+136=(x+16) 2x ^ { 2 } + \frac { 1 } { 6 } x + \frac { 1 } { 36 } = \left( x + \frac { 1 } { 6 } \right) ^ { 2 }
D) x2+16x+112=(x+16) 2x ^ { 2 } + \frac { 1 } { 6 } x + \frac { 1 } { 12 } = \left( x + \frac { 1 } { 6 } \right) ^ { 2 }

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