Finding the Quotient of the Expression
To determine the quotient of the expression 3x² + 4x + 15 divided by 3, we need to perform the division on each term of the polynomial.
Step-by-Step Breakdown
- Starting with the expression: 3x² + 4x + 15
- We divide each term by 3:
- 3x² ÷ 3 = x²
- 4x ÷ 3 = rac{4}{3}x
- 15 ÷ 3 = 5
- Putting it all together, the quotient is:
x² + rac{4}{3}x + 5
Final Result
Thus, the quotient of 3x² + 4x + 15 divided by 3 is:
x² + rac{4}{3}x + 5