# How do you find the missing number or term to make a perfect square trinomial. y^2 + 1/2y +___ ?

Jun 7, 2015

Problem: How to complete the perfect square trinomial: y^2+1/2y+ ?.

Divide the coefficient for $y$ by $2$, then square the result. This will give you the missing term.

$\frac{\frac{1}{2}}{2} = \frac{1}{2} \cdot \frac{1}{2} = \frac{1}{4}$.

${\left(\frac{1}{4}\right)}^{2} = \frac{1}{16}$

Solution:

${y}^{2} + \frac{1}{2} y + \frac{1}{16}$