Question

What you're solving for
Find the difference between two polynomial expressions.
• (1.2x^3 - 0.8x^2 + 0.6x) - (2.5x + 4.7)

Answer 1

To find the difference between the two polynomial expressions, we will subtract the second expression from the first:

\[
(1.2x^3 - 0.8x^2 + 0.6x) - (2.5x + 4.7)
\]

We'll distribute the negative sign across the second expression:

\[
1.2x^3 - 0.8x^2 + 0.6x - 2.5x - 4.7
\]

Now, we can combine like terms:

1. Start with the \(x^3\) term:
- There is only one \(x^3\) term: \(1.2x^3\)

2. Next, combine the \(x^2\) terms:
- There is only one \(x^2\) term: \(-0.8x^2\)

3. Now, combine the \(x\) terms:
- \(0.6x - 2.5x = (0.6 - 2.5)x = -1.9x\)

4. Finally, combine the constant terms:
- There is only one constant term: \(-4.7\)

So, after combining all the terms, we get:

\[
1.2x^3 - 0.8x^2 - 1.9x - 4.7
\]

This is the final expression for the difference between the two polynomial expressions.