Question

Choose the constant term that completes the perfect square trinomial.

y2 + y

Answer 1

The constant term is found by taking the coefficient of the singular variable (in this case, y), dividing it by 2, and squaring the result.

For this problem, the coefficient of y is 1. 1 divided by 2 is 1/2. (1/2)^2 = 1/4.

So, the constant term is 1/4.

Answer 2

In this question we will be using completing the square method.

We are given this expression:

$y^{2} +y$

Step 1:

Here we take half of coefficient of y , square it and then add and subtract it to the given expression :

$y^{2} +y+(1/2)^{2} -(1/2)^{2}$

$y^{2}+y-1/4+1/4$

So as we can see the constant term here is 1/4