Dividing Polynomials: How to Solve (4s^3+4s^2+72)/(s+3)

AI Thread Summary
The discussion revolves around the polynomial division of (4s^3 + 4s^2 + 72) by (s + 3). The user initially arrived at the answer 4s^2 - 8s but was confused about the missing +24 in the correct answer. It was pointed out that the user may have overlooked the term with s in the numerator, which should be expressed as 4s^3 + 4s^2 + 0s + 72. Clarification was also provided regarding the proper notation for the division, emphasizing the importance of parentheses in the expression. Ultimately, understanding the complete polynomial and correct notation is essential for solving the problem accurately.
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Mod note: Moved from a technical math section, so missing the template.

I have this question and the answer but my mathXL does not show me how it came to this conclusion.

(4s3+4s2 + 72)/ s+3I got all the way to the answer 4s2 - 8s

The correct answer is 4s2 - 8s + 24

I just don't know the steps to getting the +24, because when worked the problem, you cannot minus 72 from 24s.

Anyone can help?
 
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When you did your long division you might have left out the term with s in the numerator. When you work it out it should look like 4s3 + 4s2 + 0s + 72.
 
YEs that was the problem! thank you Fourier jr
 
camel-man said:
Mod note: Moved from a technical math section, so missing the template.

I have this question and the answer but my mathXL does not show me how it came to this conclusion.

(4s3+4s2 + 72)/ s+3I got all the way to the answer 4s2 - 8s

The correct answer is 4s2 - 8s + 24

I just don't know the steps to getting the +24, because when worked the problem, you cannot minus 72 from 24s.

Anyone can help?
Check your division. Long division is difficult to type up on computers, so if you could take a picture of your work and post it, we could show you where you went wrong.
 
camel-man said:
Mod note: Moved from a technical math section, so missing the template.

I have this question and the answer but my mathXL does not show me how it came to this conclusion.

(4s3+4s2 + 72)/ s+3I got all the way to the answer 4s2 - 8s

The correct answer is 4s2 - 8s + 24

I just don't know the steps to getting the +24, because when worked the problem, you cannot minus 72 from 24s.

Anyone can help?

You wrote
\frac{4s^3+4s^2+72}{s} + 3,
which is very easy to complete. Did you really mean that, or did you intend
\frac{4s^3+4s^2+72}{s + 3}\;?
If so, use parentheses, like this: (4s^3+4s^2+72)/(s+3). This is a bit harder than the problem you wrote.
 
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