Question

Add. Express your answer as a polynomial in standard form. (1 point)
(5x3+x2−x)+(8x2+3x+1)=

Answer 1

To add the polynomials \( (5x^3 + x^2 - x) + (8x^2 + 3x + 1) \), we can combine like terms.

First, let's write out the two polynomials together:

\[
5x^3 + x^2 - x + 8x^2 + 3x + 1
\]

Now, we will group the like terms:

- The \(x^3\) term: \(5x^3\)
- The \(x^2\) terms: \(x^2 + 8x^2 = 9x^2\)
- The \(x\) terms: \(-x + 3x = 2x\)
- The constant term: \(1\)

Now, we can combine everything together:

\[
5x^3 + 9x^2 + 2x + 1
\]

The polynomial in standard form is:

\[
\boxed{5x^3 + 9x^2 + 2x + 1}
\]