Add the polynomials:

(2x^2-x-8)+(4x^2-2x-4)=

To add the polynomials \((2x^2 - x - 8)\) and \((4x^2 - 2x - 4)\), you need to combine like terms:

\[
(2x^2 - x - 8) + (4x^2 - 2x - 4)
\]

### Step-by-step:

1. Combine the \(x^2\) terms:
\[
2x^2 + 4x^2 = 6x^2
\]

2. Combine the \(x\) terms:
\[
- x - 2x = -3x
\]

3. Combine the constant terms:
\[
-8 - 4 = -12
\]

### Final result:
\[
6x^2 - 3x - 12
\]

Would you like further details or explanations on any part of the process? Here are 5 related questions to consider:

1. How do you subtract polynomials?
2. What are like terms in polynomial addition?
3. Can you solve equations involving polynomials?
4. How do you multiply two polynomials?
5. What is the degree of the polynomial \(6x^2 - 3x - 12\)?

**Tip**: Always align terms of the same degree when adding or subtracting polynomials to avoid confusion.

Add the polynomials: (2x^2 - x - 8) + (4x^2 - 2x - 4)

Learn how to add the polynomials (2x^2 - x - 8) and (4x^2 - 2x - 4) by combining like terms. This step-by-step solution covers key algebraic concepts such as polynomial addition and combining like terms. Suitable for students in Grades 8-10.

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