Polynomial Division Practice
Grade 10 Math worksheet covering polynomial long division and synthetic division with various practice problems.
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Polynomial Division Practice
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Read each question carefully and show all your work. Use polynomial long division or synthetic division as appropriate.
1. Divide (x³ - 6x² + 11x - 6) by (x - 1).
2. Divide (2x³ + 7x² - 5x - 4) by (x + 4).
3. Use synthetic division to divide (x³ + 2x² - 5x - 6) by (x - 2).
4. Use synthetic division to divide (3x³ - 10x² + 12x - 22) by (x - 3).
5. According to the Remainder Theorem, if a polynomial P(x) is divided by (x - c), then the remainder is .
6. If P(x) = x³ - 4x² + 5x - 2, find the remainder when P(x) is divided by (x - 1). Remainder = .
7. If (x - c) is a factor of a polynomial P(x), then P(c) = 0.
True
False
8. Synthetic division can be used to divide a polynomial by any linear expression (ax + b).
True
False
9. Divide (x⁴ - 3x³ + 2x² - x + 5) by (x² + 1).