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Kaylis [27]
2 years ago
8

If x -6 is one factor of x^2 - 10x +24, which is the other factor?

Mathematics
1 answer:
yulyashka [42]2 years ago
7 0
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!

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