How do you factor completely #b^3+49b#?
Real number solution:
Complex number solution:
The answer to this question will depend on whether we are allowed to consider imaginary numbers!
We can factor out the common factor of
There is no way to factor this further which we can check using the discriminant of the quadratic equation
Since it is less than zero, there are no real factors.
Imaginary (complex) numbers
The roots of the quadratic
So our expression can be factored into