Simplifying Polynomials Worksheet
Grade 11 Math worksheet focusing on simplifying polynomials through addition, subtraction, multiplication, and division.
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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 expression: (5x² + 3x - 2) + (2x² - 7x + 9)
2. Simplify the expression: (8y³ - 4y + 1) - (3y³ + 2y - 6)
3. Multiply and simplify: (3x + 4)(2x - 5)
4. Multiply and simplify: (x² + 2x - 1)(x + 3)
5. When dividing x² - 5x + 6 by x - 2, the quotient is and the remainder is .
6. Using synthetic division, if you divide 2x³ - 7x² + 5x - 1 by x - 3, the remainder is .
7. Which of the following is equivalent to (4a²b)(3ab³)?
12a²b³
12a³b⁴
7a³b⁴
7a²b³
8. Simplify the following expression completely: (3x - 1)(x + 5) - (x² + 2x - 3)