Add the polynomial expressions.

Question

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

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

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

3x3−4x2−2x−6

Answer 1

To add the polynomial expressions, we can combine like terms from both expressions.

Expression #1:
\[ 3x^4 - 2 - 2x^3 + 4x \]

Expression #2:
\[ 2x^3 - 6x - 4 \]

Now, let's combine them:

1. Combine the \(x^4\) terms:
   \(3x^4\) (only one term)

2. Combine the \(x^3\) terms:
   \(-2x^3 + 2x^3 = 0\) (they cancel out)

3. Combine the \(x\) terms:
   \(4x - 6x = -2x\)

4. Combine the constant terms:
   \(-2 - 4 = -6\)

Putting it all together, the resulting polynomial expression is: \[ 3x^4 - 2x - 6 \]

So the correct response is: 3x^4 - 2x - 6