Complete the square and factor the resulting perfect-square trinomial.
A) ( t + 16 )
B) ( t - 4 )
C) ( t + 4 )
D) ( t - 16 )

Name: Complete the square and factor the resulting perfect-square trinomial. A) ( t + 16 ) B) ( t - 4 ) C) ( t + 4 ) D) ( t - 16 )
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Question

Complete the square and factor the resulting perfect-square trinomial. 
A) ( t + 16 ) 
B) ( t - 4 ) 
C) ( t + 4 ) 
D) ( t - 16 )

Quizplus · Accepted Answer

To complete the square, we need to take half of the coefficient of the t-term, square it, and add it to both sides. 
$$t^2 + 8t + 16 = (t + 4)^2$$
The resulting perfect-square trinomial is $(t + 4)^2$, which corresponds to choice C.

Complete the Square and Factor the Resulting Perfect-Square Trinomial