Question

Use long division method to find the result when
(8x³+20x²+36)÷(2x+6)

Answer 1

The result is 4x² - 2x + 6. To divide (8x³ + 20x² + 36) by (2x + 6) using long division, follow these steps: Divide, multiply, subtract, and bring down the next term until all terms have been divided.

Step-by-step explanation:

To divide (8x³ + 20x² + 36) by (2x + 6) using long division, follow these steps:

1. Divide the first term in the numerator (8x³) by the first term in the denominator (2x). This gives you 4x² as the first term in the quotient.
2. Multiply the entire denominator (2x + 6) by 4x² and subtract it from the numerator (8x³ + 20x² + 36).
3. Bring down the next term from the numerator (20x²) and repeat the process.
4. Continue this process until all terms in the numerator have been divided.
5. The final quotient is the result of the division.

Therefore, the result of (8x³ + 20x² + 36) ÷ (2x + 6) is 4x² - 2x + 6.