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

Question

(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: \[ \boxed{6x^3 + 2x^2 + 12x + 11} \]