College

We appreciate your visit to When tex 36 x 4 12 x 8 tex is divided by tex 12 x 4 tex the result isA tex 3 x x 2. This page offers clear insights and highlights the essential aspects of the topic. Our goal is to provide a helpful and engaging learning experience. Explore the content and find the answers you need!

When [tex]$36 x^4+12 x^8$[/tex] is divided by [tex]$12 x^4$[/tex], the result is

A. [tex]3 x + x^2[/tex]
B. [tex]3 + 12 x^8[/tex]
C. [tex]3 + x^4[/tex]
D. [tex]3 + 12 x^8[/tex]

Answer :

To solve the problem of dividing [tex]\(36 x^4 + 12 x^8\)[/tex] by [tex]\(12 x^4\)[/tex], we will break it down step-by-step:

1. Write down the original expression:
[tex]\[
\frac{36 x^4 + 12 x^8}{12 x^4}
\][/tex]

2. Separate the terms in the numerator:
The expression can be separated into two fractions:
[tex]\[
\frac{36 x^4}{12 x^4} + \frac{12 x^8}{12 x^4}
\][/tex]

3. Simplify each fraction individually:

- For the first fraction:
[tex]\[
\frac{36 x^4}{12 x^4} = \frac{36}{12} \cdot \frac{x^4}{x^4} = 3
\][/tex]
Here, [tex]\(\frac{36}{12} = 3\)[/tex] and [tex]\(\frac{x^4}{x^4} = 1\)[/tex].

- For the second fraction:
[tex]\[
\frac{12 x^8}{12 x^4} = \frac{12}{12} \cdot \frac{x^8}{x^4} = 1 \cdot x^{8-4} = x^4
\][/tex]
Here, [tex]\(\frac{12}{12} = 1\)[/tex] and [tex]\(x^8/x^4 = x^{8-4} = x^4\)[/tex].

4. Combine the simplified terms:
[tex]\[
3 + x^4
\][/tex]

So, after dividing [tex]\((36 x^4 + 12 x^8)\)[/tex] by [tex]\(12 x^4\)[/tex], the result is:
[tex]\[
3 + x^4
\][/tex]

Thus, the answer is:
[tex]\[
\boxed{3 + x^4}
\][/tex]

The choice that fits our result from the given options is:
[tex]\[
3 + x^4
\][/tex]

Thanks for taking the time to read When tex 36 x 4 12 x 8 tex is divided by tex 12 x 4 tex the result isA tex 3 x x 2. We hope the insights shared have been valuable and enhanced your understanding of the topic. Don�t hesitate to browse our website for more informative and engaging content!

Rewritten by : Barada