SOLUTION: Please explain and factor the polynomial: n^2/4 - 9/16

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Question 5292: Please explain and factor the polynomial:
n^2/4 - 9/16
Answer by ichudov(507)   (Show Source): You can put this solution on YOUR website!
all you have to do is solve equation
and then use the standard formula of factoring the trinomial, given its roots.
Solved by pluggable solver: SOLVE quadratic equation with variable
Quadratic equation (in our case ) has the following solutons:



For these solutions to exist, the discriminant should not be a negative number.

First, we need to compute the discriminant : .

Discriminant d=0.5625 is greater than zero. That means that there are two solutions: .




Quadratic expression can be factored:

Again, the answer is: 1.5, -1.5. Here's your graph:
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