Practice Worksheet: Synthetic Division | Study notes Mathematics ... - Free Printable

1. The dividend is \( x^3 + 2x^2 - x - 2 \).
2. The quotient is \( 3x^3 - 8x^2 + 8x + 27 \).
3. The dividend is \( (x + 2)(x^3 + x + 3) \).
4. The completed synthetic division is:
- Divisor: 2
- Coefficients: 2, 1, -3, 10
- Result: 2, -3, 5, 0
5. The completed synthetic division is:
- Divisor: 3
- Coefficients: 1, -4, 1, -2
- Result: 1, -1, -2, 0
6. \( (2x^3 + 4x^2 - 3x - 6) \div (x + 3) = 2x^2 - 2x + 3 - \frac{15}{x + 3} \)
7. \( (x^3 - 6x^2 + 9) \div (x - 4) = x^2 - 2x - 8 - \frac{23}{x - 4} \)
8. \( (4x^3 + 27x^2 + 3x + 64) \div (x + 7) = 4x^2 - x + 10 - \frac{6}{x + 7} \)
9. \( (x^4 - 16x^2 - 40x - 25) \div (x - 5) = x^3 + 5x^2 - x - 5 \)