Add the polynomials: (5x2−3x+2)+(3x2+4x−1)

Answer 1

To add the polynomials \( (5x^2 - 3x + 2) + (3x^2 + 4x - 1) \), we combine like terms:

1. Combine the \( x^2 \) terms: \[ 5x^2 + 3x^2 = 8x^2 \]

2. Combine the \( x \) terms: \[ -3x + 4x = 1x \quad (\text{or just } x) \]

3. Combine the constant terms: \[ 2 - 1 = 1 \]

Putting it all together, we get: \[ 8x^2 + x + 1 \]

Thus, the result of the addition of the polynomials is: \[ \boxed{8x^2 + x + 1} \]