What do you get when you divide x³ + 6 by x²?

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To solve the problem of dividing x³ + 6 by x², let’s break the expression down step by step.

1. **Identify the terms**: The expression we are dividing is x³ + 6. Here, x³ is a polynomial term, and 6 is a constant.

2. **Set up the division**: We will divide each part of the expression by x²:

– Dividing x³ by x² gives:

  • x³ ÷ x² = x3-2 = x1 = x

– Dividing 6 by x² gives:

  • 6 ÷ x² = 6x-2

3. **Combine the results**: Now, putting both parts together from our division, we get:

x + 6/x²

4. **Final expression**: Therefore, the result of dividing x³ + 6 by x² is:

x + rac{6}{x²}

This expression tells us how many times the polynomial x² fits into x³ + 6. It combines polynomial long division with a fractional component, which represents the portion that doesn’t fully divide.

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