To find the factors of the polynomial x² + 100x + 0, we can start by rewriting it in a simpler form. The expression can be factored as follows:
First, note that the polynomial can be expressed as:
x² + 100x = x(x + 100)From this expression, we can see that the polynomial is already in its factored form. The two factors of x² + 100x are:
- x
- x + 100
Thus, the complete factorization of the polynomial x² + 100x is:
x(x + 100)In conclusion, the factors of the polynomial x² + 100x + 0 are x and x + 100.