Grade 11 Polynomial Simplification Worksheet
This worksheet focuses on simplifying polynomial expressions through addition, subtraction, multiplication, and division for Grade 11 students.
Includes
Standards
Topics
Polynomial Simplification
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Simplify each polynomial expression. Show all your work.
1. Simplify: (3x² + 5x - 7) + (2x² - 3x + 10)
2. Simplify: (4y³ - 2y + 6) - (y³ + 5y - 8)
3. Simplify: 2x(x² - 4x + 5)
4. Simplify: (x + 3)(x - 5)
5. Simplify: (2x - 1)(x² + 3x - 4)
6. Simplify: (6x³ - 9x² + 12x) / (3x)
7. Use synthetic division to simplify: (x³ + 2x² - 5x - 6) / (x - 2)
8. Which expression is equivalent to (x - 4)²?
x² - 16
x² + 16
x² - 8x + 16
x² + 8x + 16
9. When adding polynomials, you combine terms.
10. The result of multiplying a monomial by a binomial is often a .
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