SOLUTION: what is x^5+4x^4-32x^3=0

Question 415341: what is x^5+4x^4-32x^3=0
Found 2 solutions by solver91311, htmentor:
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!

It is a fifth degree polynomial equation.

John

My calculator said it, I believe it, that settles it

Answer by htmentor(1343) (Show Source): You can put this solution on YOUR website!
We can factor the expression like this: (x^3)(x^2 + 4x - 32) = 0.
If either factor equals 0, that makes the expression equal to 0.
The LHS gives the trivial solution x = 0.
For the RHS we have x^2 + 4x - 32 = 0
The quadratic formula gives x = (-4 +/- 12)/2.
So the other two solutions are x = -8 and x = 4.
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