Question

Add the polynomial expressions.

Expression #1: 3x4−2−2x3+4x

Expression #2: 2x3−6x−4

(1 point)
Responses

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

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

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

3x4−4x3−2x−6

Answer 1

To add the polynomials, we need to combine like terms. Let's write down the two expressions:

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

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

Now, we will add them together:

1. Combine the \( x^4 \) terms: \( 3x^4 \)
2. Combine the \( x^3 \) terms: \( -2x^3 + 2x^3 = 0 \)
3. Combine the \( x \) terms: \( 4x - 6x = -2x \)
4. Combine the constant terms: \( -2 - 4 = -6 \)

Putting it all together, the result is:

\[
3x^4 - 2x - 6
\]

Now, let's match this to the responses given:

1. \( 3x^4 - 2x - 6 \)
2. \( 3x^4 - 6x - 6 \)
3. \( 3x^3 - 4x^2 - 2x - 6 \)
4. \( 3x^4 - 4x^3 - 2x - 6 \)

The correct response is:

**3x4−2x−6**