# How do you factor completely #b^3+49b#?

##### 1 Answer

Apr 21, 2016

Real number solution:

Complex number solution:

#### Explanation:

The answer to this question will depend on whether we are allowed to consider imaginary numbers!

*Real 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