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

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

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

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

Answer :

To simplify the expression

[tex]$$\frac{36x^4 + 12x^8}{12x^4},$$[/tex]

we start by dividing each term in the numerator by the denominator:

1. For the first term:
[tex]$$\frac{36x^4}{12x^4} = \frac{36}{12}\cdot x^{4-4} = 3\cdot x^0 = 3.$$[/tex]
(Note that [tex]$x^0 = 1$[/tex].)

2. For the second term:
[tex]$$\frac{12x^8}{12x^4} = \frac{12}{12}\cdot x^{8-4} = 1\cdot x^4 = x^4.$$[/tex]

Now, adding the two results together gives:

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

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

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

Thanks for taking the time to read When tex 36x 4 12x 8 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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