Dividing Polynomials Worksheet
Grade 9 math worksheet on dividing polynomials using long division and synthetic division, including practice problems.
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Topics
Dividing Polynomials
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Read each question carefully and show all your work. Use long division or synthetic division as appropriate to divide the polynomials.
1. Divide (x² + 5x + 6) by (x + 2).
2. Divide (2x³ - 3x² + 4x - 1) by (x - 1).
3. Divide (3x³ + 4x² - 10x + 4) by (3x - 2).
4. Divide (x³ - 4x² + 2x + 5) by (x - 3) using synthetic division.
5. Divide (x⁴ + 5x³ - 2x + 1) by (x + 1) using synthetic division.
6. When (x² + 7x + 10) is divided by (x + 5), the remainder is .
7. If (x³ - 6x² + 11x - 6) is divided by (x - 1), the remainder is .
8. Which of the following is the quotient when (x² - 9) is divided by (x - 3)?
x + 3
x - 3
x²
3