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Answer :
Let's solve the problem step-by-step:
We need to divide the expression [tex]\(36x^2 + 12x^4\)[/tex] by [tex]\(12x\)[/tex].
1. Break up the expression:
The given expression is [tex]\(36x^2 + 12x^4\)[/tex]. We can consider this as two separate terms: [tex]\(36x^2\)[/tex] and [tex]\(12x^4\)[/tex].
2. Divide each term by [tex]\(12x\)[/tex]:
- First, divide [tex]\(36x^2\)[/tex] by [tex]\(12x\)[/tex]:
[tex]\[
\frac{36x^2}{12x} = \frac{36}{12} \times \frac{x^2}{x} = 3x
\][/tex]
- Next, divide [tex]\(12x^4\)[/tex] by [tex]\(12x\)[/tex]:
[tex]\[
\frac{12x^4}{12x} = \frac{12}{12} \times \frac{x^4}{x} = x^3
\][/tex]
3. Combine the results:
Adding the results of the two divisions, we get:
[tex]\[
3x + x^3
\][/tex]
So, the final result when [tex]\(36x^2 + 12x^4\)[/tex] is divided by [tex]\(12x\)[/tex] is [tex]\(3x + x^3\)[/tex].
Looking at the provided options, there is no exact match, but if we assume the options or expressions were miswritten, we can see that this matches closely with the mathematical steps. Please double-check the options for any miswriting or contact support to clarify.
We need to divide the expression [tex]\(36x^2 + 12x^4\)[/tex] by [tex]\(12x\)[/tex].
1. Break up the expression:
The given expression is [tex]\(36x^2 + 12x^4\)[/tex]. We can consider this as two separate terms: [tex]\(36x^2\)[/tex] and [tex]\(12x^4\)[/tex].
2. Divide each term by [tex]\(12x\)[/tex]:
- First, divide [tex]\(36x^2\)[/tex] by [tex]\(12x\)[/tex]:
[tex]\[
\frac{36x^2}{12x} = \frac{36}{12} \times \frac{x^2}{x} = 3x
\][/tex]
- Next, divide [tex]\(12x^4\)[/tex] by [tex]\(12x\)[/tex]:
[tex]\[
\frac{12x^4}{12x} = \frac{12}{12} \times \frac{x^4}{x} = x^3
\][/tex]
3. Combine the results:
Adding the results of the two divisions, we get:
[tex]\[
3x + x^3
\][/tex]
So, the final result when [tex]\(36x^2 + 12x^4\)[/tex] is divided by [tex]\(12x\)[/tex] is [tex]\(3x + x^3\)[/tex].
Looking at the provided options, there is no exact match, but if we assume the options or expressions were miswritten, we can see that this matches closely with the mathematical steps. Please double-check the options for any miswriting or contact support to clarify.
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