To find the quotient of the polynomial expression 3x³ + 10x² + 10x + 4 divided by 2, we will divide each term of the polynomial by 2. Let’s break it down step-by-step:
- Divide the first term: 3x³ ÷ 2 = rac{3}{2}x³
- Divide the second term: 10x² ÷ 2 = 5x²
- Divide the third term: 10x ÷ 2 = 5x
- Divide the last term: 4 ÷ 2 = 2
Now, we can combine all the quotients together:
Final Result:
The quotient is rac{3}{2}x³ + 5x² + 5x + 2