Add the polynomial expressions. a

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

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

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

3x4−4x3−2x−6

Answer 1

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

Let's rewrite the expressions:

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

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

Now, we will add them 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, we have:

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

So the answer is:

3x⁴ - 2x - 6