## Algebra 2 Common Core

$\dfrac{9}{4}$
RECALL: To complete the square for $x^2 +mb$, just add $\left(\dfrac{m}{2}\right)^2$. Using the rule above, the term that must be added to the given expression to complete the square is: With $m=-3$ \begin{align*} &=\left(\frac{-3}{2}\right)^2\\\\ &= \frac{9}{4} \end{align*}