Question

combine like terms
2x^4+x^3+2x^2
-4x^3-2x^2-4x

Answer 1

To combine like terms, we can group the terms together according to their degree. Here are the terms you provided:

1. \(2x^4\)
2. \(x^3 - 4x^3\)
3. \(2x^2 - 2x^2\)
4. \(-4x\)

Now we combine them:

1. The \(x^4\) term:
- \(2x^4\) (no other \(x^4\) terms to combine)

2. The \(x^3\) terms:
- \(x^3 - 4x^3 = -3x^3\)

3. The \(x^2\) terms:
- \(2x^2 - 2x^2 = 0\)

4. The \(x\) term:
- \(-4x\) (no other \(x\) terms to combine)

Putting it all together, the combined expression is:
\[
2x^4 - 3x^3 - 4x
\]