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Divide 10a³+12a²-6a by 2

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Final answer:

The question involved dividing each term in the polynomial 10a³+12a²-6a by 2, resulting in the simplified expression 5a³ + 6a² - 3a.

Step-by-step explanation:

The student's question asks to divide the polynomial 10a³+12a²-6a by the number 2. This is a basic algebraic operation that can be done by dividing each term of the polynomial individually by 2.

To divide the polynomial, we can set up the operation as follows:

  • 10a³ ÷ 2 = 5a³
  • 12a² ÷ 2 = 6a²
  • -6a ÷ 2 = -3a

After dividing each term, our solution is 5a³ + 6a² - 3a.

This operation does not require the use of formulas, rules, or concepts as presented in the reference information, which pertains to more complex problems like using the quadratic formula or physics equations. Instead, it's a straightforward expression simplification.

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