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

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Homework Help Overview

The discussion revolves around the division of polynomials, specifically the expression (4s^3 + 4s^2 + 72) / (s + 3). Participants are trying to understand the steps leading to the correct answer, which includes a constant term that the original poster did not account for.

Discussion Character

  • Exploratory, Assumption checking, Problem interpretation

Approaches and Questions Raised

  • Participants discuss the process of polynomial long division and question whether all terms in the numerator were included. There are inquiries about the specific steps that lead to the constant term in the final answer.

Discussion Status

Some participants have identified potential issues in the original poster's approach, suggesting that missing terms may have led to confusion. There is an ongoing exploration of the polynomial division process, with some guidance offered regarding the need for clarity in notation and the inclusion of all relevant terms.

Contextual Notes

There are indications that the original poster may have misunderstood the division setup, as they initially wrote the expression incorrectly. The discussion is also complicated by the challenges of conveying polynomial long division in text format.

camel-man
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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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