Determine the Constant That Should Be Added to the Binomial $x ^ { 2 } - 11 x$

question 383

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.
- $x ^ { 2 } - 11 x$

• A) \(121 ; x ^ { 2 } - 11 x + 121 = ( x - 11 ) ^ { 2 }\)
• B) \(- \frac { 121 } { 4 } ; x ^ { 2 } - 11 x - \frac { 121 } { 4 } = \left( x - \frac { 11 } { 2 } \right) ^ { 2 }\)
• C) \(\frac { 11 } { 2 } ; x ^ { 2 } - 11 x + \frac { 11 } { 2 } = \left( x - \frac { 11 } { 2 } \right) ^ { 2 }\)
• D) \(\frac { 121 } { 4 } ; x ^ { 2 } - 11 x + \frac { 121 } { 4 } = \left( x - \frac { 11 } { 2 } \right) ^ { 2 }\)

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