Question

Add the polynomial expressions.

Expression #1: 3x4−2−2x3+4x


Expression #2: 2x3−6x−4


(1 point)

Answer 1

To add the polynomial expressions, we combine like terms.

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

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

Now, let's add them together:

1. Start with the \(x^4\) term:
\[ 3x^4 \]

2. Combine the \(x^3\) terms:
\[ -2x^3 + 2x^3 = 0x^3 \quad (\text{which simplifies to } 0) \]

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

4. Combine the constant terms:
\[ -2 - 4 = -6 \]

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

So the sum of the two polynomial expressions is:
\[
\boxed{3x^4 - 2x - 6}
\]