To get the other factor of the expression x² - 10x + 24, we can use long or synthetic division. We are given that the other factor is x - 6, so we can use that as our divisor. Our setup should look something like this: x² - 10x + 24 ÷ x - 6 Here is the work using polynomial long division: <u> x -4 </u> x - 6 | x² - 10x + 24 <u> </u><span><u>x² - 6x</u> </span> 0 - 4x + 24 <span><u>-4x - 24</u> </span> 0 We can see that our quotient is x - 4, which would be the other factor of x - 6 to get x² - 10x + 24. The answer to your query is x - 4. Hope this helps and have a phenomenal day!
