To subtract the expression \(3x^2 + 7x - 4\) from \(8x^2 - 6x + 2\), follow these steps:

1. Write down the expression: 
   \[
   (8x^2 - 6x + 2) - (3x^2 + 7x - 4)
   \]

2. Distribute the negative sign across the second polynomial:
   \[
   8x^2 - 6x + 2 - 3x^2 - 7x + 4
   \]

3. Combine like terms:
   - Combine the \(x^2\) terms: \(8x^2 - 3x^2 = 5x^2\)
   - Combine the \(x\) terms: \(-6x - 7x = -13x\)
   - Combine the constant terms: \(2 + 4 = 6\)

So, the result is:
\[
5x^2 - 13x + 6
\]

Would you like more details or have any questions?

Here are 5 related questions to explore further:

1. How would you add \(3x^2 + 7x - 4\) and \(8x^2 - 6x + 2\)?
2. What is the result if you multiply \(3x^2 + 7x - 4\) by \(8x^2 - 6x + 2\)?
3. Can you factor the polynomial \(5x^2 - 13x + 6\)?
4. What is the degree of the resulting polynomial \(5x^2 - 13x + 6\)?
5. How does subtracting \(3x^2 + 7x - 4\) from \(8x^2 - 6x + 2\) differ from subtracting in reverse?

**Tip:** Always ensure you correctly distribute the negative sign when subtracting polynomials, as it changes the sign of each term in the polynomial being subtracted.

Learn how to subtract the polynomial 3x^2 + 7x - 4 from 8x^2 - 6x + 2 with a detailed step-by-step solution. This problem covers polynomial subtraction, combining like terms, and basic algebraic operations. Suitable for students in Grades 9-12.

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