SOLUTION: fractoring trinomials by grouping 60p^4+81p^3+27p^2

Question 57330: fractoring trinomials by grouping
60p^4+81p^3+27p^2
Answer by Nate(3500) (Show Source): You can put this solution on YOUR website!
60p^4 + 81p^3 + 27p^2
3p^2(20p^2 + 27p + 9)
3p^2(20p^2 + 27p + 9)

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=9 is greater than zero. That means that there are two solutions: .

Quadratic expression can be factored:

Again, the answer is: -0.6, -0.75. Here's your graph:

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