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When [tex]36x^4 + 12x^3[/tex] is divided by [tex]12x^4[/tex], the result is:

A. [tex]3 + 12x^8[/tex]

B. [tex]3x + x^2[/tex]

C. [tex]3 + 12x^{\prime}[/tex]

D. [tex]3 + x^4[/tex]

Answer :

To divide
[tex]$$36 x^4 + 12 x^3$$[/tex]
by
[tex]$$12 x^4,$$[/tex]
we first write the expression as
[tex]$$\frac{36 x^4 + 12 x^3}{12 x^4}.$$[/tex]

Next, we divide each term in the numerator by the denominator separately.

1. For the first term:
[tex]$$\frac{36 x^4}{12 x^4} = \frac{36}{12} \cdot \frac{x^4}{x^4} = 3 \cdot 1 = 3.$$[/tex]

2. For the second term:
[tex]$$\frac{12 x^3}{12 x^4} = \frac{12}{12} \cdot \frac{x^3}{x^4} = 1 \cdot x^{3-4} = \frac{1}{x}.$$[/tex]

Now, combine the results to write the final answer:
[tex]$$3 + \frac{1}{x}.$$[/tex]

Thanks for taking the time to read When tex 36x 4 12x 3 tex is divided by tex 12x 4 tex the result is A tex 3 12x 8 tex B tex. 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!

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