Question

Add. Express your answer as a polynomial in standard form.

(6x^3 − 8x^2 + 3x)+ (10x^2 + 9x + 11)

(1 point)
Responses

6x3 + 2x2 + 12x + 11
6x3 + 2x2 + 12x + 11

16x2 +x + 14
16x2 +x + 14

6x3 +18x2 +12x +11

Answer 1

To add the polynomials \( (6x^3 - 8x^2 + 3x) + (10x^2 + 9x + 11) \), we combine like terms:

1. **Combine the \( x^3 \) terms:**
\[
6x^3
\]

2. **Combine the \( x^2 \) terms:**
\[
-8x^2 + 10x^2 = 2x^2
\]

3. **Combine the \( x \) terms:**
\[
3x + 9x = 12x
\]

4. **Combine the constant terms:**
\[
11
\]

Putting it all together, we get:
\[
6x^3 + 2x^2 + 12x + 11
\]

So the answer in standard form is:
\[
\boxed{6x^3 + 2x^2 + 12x + 11}
\]