To find the sum of the two polynomials, we start by aligning like terms. The given polynomials are:
1. 4x³ + 2x² + 4x + 3
2. 7x³ + 4x² + 7x + 8
Next, we combine the coefficients of each degree of x:
- For x³: 4 + 7 = 11, so we have 11x³.
- For x²: 2 + 4 = 6, so we have 6x².
- For x: 4 + 7 = 11, so we have 11x.
- Finally, for the constant terms: 3 + 8 = 11, so we have 11.
Putting it all together, the sum of the two polynomials is:
11x³ + 6x² + 11x + 11