Decide what number must be added to the binomial to make a perfect square trinomial.
-$$x ^ { 2 } + \frac { 4 } { 5 } x$$
A) $\frac { 4 } { 25 }$
B) $\frac { 16 } { 25 }$
C) $\frac { 1 } { 5 }$
D) $\frac { 8 } { 25 }$

Question

Quizplus · Accepted Answer

To make a perfect square trinomial, the coefficient of the linear term must be half of the coefficient of the quadratic term. In this case, the coefficient of the quadratic term is 1, so the coefficient of the linear term must be 1/2. The only choice that satisfies this condition is A) 4/25.

Decide What Number Must Be Added to the Binomial to Make