Question

Add the polynomial expressions.

Expression #1: 3x4−2−2x3+4x

Expression #2: 2x3−6x−4

(1 point)
Responses

3x4−6x−6
3 x superscript 4 baseline minus 6 x minus 6

3x4−4x3−2x−6
3 x superscript 4 baseline minus 4 x cubed minus 2 x minus 6

3x3−4x2−2x−6
3 x cubed minus 4 x squared minus 2 x minus 6

3x4−2x−6

Answer 1

To add the two polynomial expressions, we'll combine like terms step by step.

**Expression #1:**
\(3x^4 - 2 - 2x^3 + 4x\)

**Expression #2:**
\(2x^3 - 6x - 4\)

Now, let's rewrite both expressions together:

\[
(3x^4 - 2 - 2x^3 + 4x) + (2x^3 - 6x - 4)
\]

Now, combine like terms:

- The \(x^4\) term: \(3x^4\)
- The \(x^3\) terms: \(-2x^3 + 2x^3 = 0\)
- The \(x\) terms: \(4x - 6x = -2x\)
- The constant terms: \(-2 - 4 = -6\)

Putting it all together:

\[
3x^4 + 0 - 2x - 6 \quad \text{which simplifies to} \quad 3x^4 - 2x - 6
\]

Thus, the sum of the two polynomial expressions is:

\[
\boxed{3x^4 - 2x - 6}
\]