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Kaylis [27]
3 years ago
8

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

Mathematics
1 answer:
yulyashka [42]3 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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<h3>Further Explanation</h3>

Numbers to the nth power.

When a number has a power as in 10², this means that you multiply that number by itself however many times the power indicates. A number to the 29th power would be multiplied by itself 29 times.

Multiplying Decimals

When multiplying decimals, it is important to remember to shift the decimal to the correct place. A number multiplied by ten moves the decimal one place to the right. A number multiplied by 100 moves the decimal two places to the right. A number multiplied by 1000 moves the decimal three places to the right. A trick for remembering is the number of zeros in 10, 100, or 1000. For each zero, move the decimal

<h3>Answer Details</h3>

Subject: Math

Level: Middle School

Topic: Powers

<h3>Keywords</h3>

powers, multiplication, multiplying with decimals

<h3>Learn More</h3>

Checking decimal multiplication: brainly.com/question/923608

Math Powers: brainly.com/question/100928

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