Simplifying Polynomials Worksheet
Grade 9 Math worksheet focusing on simplifying polynomials through addition, subtraction, and multiplication.
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Simplifying Polynomials
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Read each question carefully and simplify the polynomials as indicated. Show all your work for full credit.
1. Simplify the following expression:
(3x² + 5x - 2) + (x² - 7x + 9)
2. Find the sum of (4ab - 6a + 2b) and (2ab + 3a - 5b).
3. Subtract (5y² - 2y + 8) from (7y² + 4y - 3).
4. Simplify: (9m³ - 2m² + m) - (4m³ + 5m² - 6m).
5. Multiply: 2x(x² - 3x + 5)
6. Expand and simplify: (x + 4)(x - 3)
7. Which of the following is the simplified form of (5p - 2) + (3p + 7)?
8p - 9
8p + 5
2p + 5
2p - 9
8. When adding polynomials, we combine terms.
9. To subtract a polynomial, we add the of each term in the second polynomial.
10. The product of (x + 2) and (x - 2) is a of two squares.
11. Simplify the expression: (2a + 3)(a - 4) - (a² - 5a + 6)