To find the sum of the given polynomials, we need to combine like terms.
Starting with the first polynomial, we have:
- 4x³
- 2x
- 9
Now, for the second polynomial:
- 2x³
- 5x
- 3
Now we add these polynomials together:
4x³ + 2x + 9
+ 2x³ + 5x + 3
Next, let’s group the like terms:
- (4x³ + 2x³) = 6x³
- (2x + 5x) = 7x
- (9 + 3) = 12
Putting it all together, we get:
6x³ + 7x + 12
Thus, the correct sum of the polynomials is 6x³ + 7x + 12.