Factoring and using the principles of zero products

[mmcurry2]

x^2 + 9x + 0

 

[mmm4444bot]

x^2 + 9x + 0

I'm guessing that the second plus sign above is a typographical error.

x^2 + 9x = 0

Before we apply the Zero-Product Property (to find the solutions for x), we need a product of factors that equal zero.

Do you know how to factor the polynomial x^2 + 9x as a product of two factors?

Please tell us what you've learned so far about this.