Grade 9 Polynomial Operations Worksheet
This worksheet covers fundamental operations with polynomials including addition, subtraction, multiplication, and division, suitable for Grade 9 algebra students.
Includes
Standards
Topics
Polynomial Operations
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Read each question carefully and perform the indicated polynomial operation. Show all your work.
1. A is an expression consisting of variables and coefficients, involving only the operations of addition, subtraction, multiplication, and non-negative integer exponents of variables.
2. When adding or subtracting polynomials, you combine .
3. The degree of the polynomial 5x³ - 2x + 7 is .
4. Add the following polynomials: (3x² + 5x - 7) + (x² - 2x + 4)
5. Subtract the following polynomials: (6y³ - 2y + 1) - (2y³ + 4y - 5)
6. Multiply the following: 4x(2x² - 3x + 5)
7. Expand and simplify: (x + 3)(x - 2)
8. Multiply: (2x + 1)(x² - 3x + 4)
9. Which of the following is the simplified form of (5x² - 3x + 1) + (2x² + 4x - 6)?
7x² + x - 5
7x² - x - 5
7x² + x + 7
7x² - x + 7
10. What is the product of (x - 4)(x + 4)?
x² - 16
x² + 16
x² - 8x + 16
x² + 8x + 16
11. The degree of the polynomial 2x⁴ + 3x - 1 is 4.
True
False
12. (x + 5)² = x² + 25
True
False