SOLUTION: {{{12b^4+36b^3-20b^2}}} i really dont get how to factor the polynomial can you help[ me plz.

Question 568309: i really dont get how to factor the polynomial can you help[ me plz.
Answer by TutorDelphia(193) (Show Source): You can put this solution on YOUR website!

the first step is to see if there is something we can factor out from each term.
If I rewrite everything like this, its more clear

or if I do a prime factorization of each number like this:

So each term has 2*2*b*b which is 4b^2
so I need to factor out 4b^2 from each term
4b^2*(3b^2+9b-5)
and we can factor further if need be but you can probably stop here.

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=141 is greater than zero. That means that there are two solutions: .

Quadratic expression can be factored:

Again, the answer is: 0.479057014506319, -3.47905701450632. Here's your graph:

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