Add. Express your answer as a polynomial in standard form. (1 point)

Question

(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:

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