Find the term that should be added to the expression to form a perfect square trinomial. Write the resulting perfect square trinomial in factored form.
-$x^{2}+5 x+$

A) $0 ;(x+5)^{2}$

B) $0 ;\left(x+\frac{5}{2}\right)^{2}$

C) $\frac{25}{4} ;\left(x+\frac{5}{2}\right)^{2}$

D) $\frac{25}{4} ;\left(x-\frac{5}{2}\right)^{2}$

Question

Find the term that should be added to the expression to form a perfect square trinomial. Write the resulting perfect square trinomial in factored form.
-$x^{2}+5 x+$

A) $0 ;(x+5)^{2}$

B) $0 ;\left(x+\frac{5}{2}\right)^{2}$

C) $\frac{25}{4} ;\left(x+\frac{5}{2}\right)^{2}$

D) $\frac{25}{4} ;\left(x-\frac{5}{2}\right)^{2}$

Quizplus · Accepted Answer

To form a perfect square trinomial from $x^2 + 5x$, we need to add $\left(\frac{5}{2}\right)^2 = \frac{25}{4}$. This results in the trinomial $x^2 + 5x + \frac{25}{4}$, which factors to $\left(x + \frac{5}{2}\right)^2$.

Find the Term That Should Be Added to the Expression x2+5x+x^{2}+5 x+x2+5x+

Find the Term That Should Be Added to the Expression $x^{2}+5 x+$