Question

What number should be added to the expression x^2+3x+___ in order to create a perfect square trinomial?

3/2

3

9/4

9

Answer 1

Answer: THIRD OPTION.

Explanation:

We need to remember that we can create a perfect square trinomial by squaring a binomial:

`(a\±b)^2=a^2\±2ab+b^2`

Then we need need to pick the coefficient of the x term of the given expression, divide it by 2 and square it:

`((3)/(2))^2=(9)/(4)`

Therefore, the number that should be added to the given expression in order to create a perfect square trinomial is:

`(9)/(4)`