Question

Which of the following constants can be added to x^2+2/3 to form a perfect square trinomial?

1/9

4/9

4 1/9

Answer 1

As your question is stated, there is no answer!

I'm going to assume the polynomial you meant is:

`x^2 + (2)/(3) x`

To create a perfect square trinomial, take half the coefficient of x and then square it.

`\left( (1)/(2) * (2)/(3) \right) ^2 = \left((1)/(3) \right) ^2 =(1)/(9)`

In all problems like this, you want to square half the coefficient of x -- always half.