To find the sum of the given polynomials, we need to combine like terms from both expressions.
The first polynomial is: 3x³ + 5x + 8
The second polynomial is: 5x³ + 7x + 3
Now, let’s arrange the terms by their degree:
- For the cubic terms: 3x³ + 5x³ results in 8x³.
- For the linear terms: 5x + 7x gives us 12x.
- For the constant terms: 8 + 3 results in 11.
Putting it all together, we get:
8x³ + 12x + 11
Thus, the correct sum of the polynomials is 8x³ + 12x + 11.