Grade 10 Polynomial Operations Worksheet
A Grade 10 math worksheet focusing on polynomial operations including addition, subtraction, multiplication, and division.
Includes
Standards
Topics
Polynomial Operations
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Read each question carefully and perform the indicated polynomial operation. Show all your work.
1. Add the following polynomials: (3x² + 5x - 2) + (x² - 7x + 8)
2. Find the sum of (4ab + 3a - 5b) and (2ab - a + 9b).
3. Subtract (2y² - 3y + 6) from (5y² + y - 4).
4. From (7m + 2n - 10), subtract (3m - 4n + 5).
5. Multiply: (x + 3)(x - 5)
6. Expand and simplify: (2x - 1)(x² + 3x - 4)
7. Divide (x² + 7x + 10) by (x + 2).
8. Divide (6x³ - 11x² + 5x - 12) by (2x - 3).
9. The product of two binomials is always a trinomial.
True
False
10. When subtracting polynomials, you must distribute the negative sign to each term of the polynomial being subtracted.
True
False
11. The area of a rectangle is given by the polynomial A = 6x² + 13x - 5. If the width of the rectangle is (2x + 5), find an expression for the length.