Determine the Constant That Should Be Added to the Binomial $$x ^ { 2 } + \frac { 1 } { 4 } x$$

question 13

Multiple Choice

Determine the constant that should be added to the binomial so that it becomes a perfect square trinomial. Then write
and factor the trinomial.
- $$x ^ { 2 } + \frac { 1 } { 4 } x$$

• A) \(64 ; x ^ { 2 } + \frac { 1 } { 4 } x + 64 = ( x + 8 ) ^ { 2 }\)
• B) \(\frac { 1 } { 8 } ; x ^ { 2 } + \frac { 1 } { 4 } x + \frac { 1 } { 8 } = \left( x + \frac { 1 } { 4 } \right) ^ { 2 }\)
• C) \(\frac { 1 } { 64 } ; x ^ { 2 } + \frac { 1 } { 4 } x + \frac { 1 } { 64 } = \left( x + \frac { 1 } { 8 } \right) ^ { 2 }\)
• D) \(\frac { 1 } { 16 } ; x ^ { 2 } + \frac { 1 } { 4 } x + \frac { 1 } { 16 } = \left( x + \frac { 1 } { 4 } \right) ^ { 2 }\)

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