Grade 11 Polynomial Operations Worksheet
This worksheet covers fundamental operations with polynomials, including addition, subtraction, multiplication, and division, suitable for Grade 11 students.
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Grade 11 Polynomial Operations
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Read each question carefully and perform the indicated polynomial operation. Show all your work for full credit.
1. Add the following polynomials: (3x² + 5x - 2) + (x² - 7x + 9)
2. Find the sum of (4ab + 2a - 3b) and (-2ab + 5a + b).
3. Subtract (2y³ - 4y + 6) from (5y³ + y² - 3y - 1).
4. Calculate the difference: (7m²n - 3mn + 2m) - (4m²n + mn - 5m).
5. Multiply: (x + 3)(x - 5)
6. Expand the expression: (2a + b)(a² - ab + 3b²)
7. Divide (x² - 7x + 10) by (x - 2) using long division.
8. Use synthetic division to divide (3x³ - 2x² + 5x - 1) by (x + 1).
9. What is the degree of the polynomial 5x⁴ - 3x² + 7x - 1?
1
2
4
5
10. Which of the following is equivalent to (x - 4)²?
x² - 16
x² + 16
x² - 8x + 16
x² + 8x + 16
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