Grade 11 Polynomial Operations Worksheet
This worksheet covers fundamental operations with polynomials, including addition, subtraction, multiplication, and division, suitable for Grade 11 students.
Includes
Standards
Topics
Grade 11 Polynomial Operations
Name:
Date:
Score:
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