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
Name:
Date:
Score:
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.
Related Worksheets
Solving Square Root Equations
This worksheet focuses on solving square root equations, including identifying extraneous solutions, for Grade 10 Algebra students.
Perfect Square Trinomials Worksheet
This worksheet focuses on identifying, factoring, and creating perfect square trinomials for Grade 10 Algebra students.
Radical Operations Worksheet
Grade 10 Math worksheet covering operations with radical expressions including simplification, addition, subtraction, multiplication, and division.
Rearranging Equations Worksheet
A Grade 10 Math worksheet focused on rearranging algebraic equations to solve for specific variables.
Zero Product Property Worksheet
Practice applying the Zero Product Property to solve quadratic equations and other polynomial equations.
Sigma Notation Practice
A Grade 10 math worksheet focusing on understanding and applying sigma notation for sums and series.
Intercepts Exploration
Explore and identify x-intercepts and y-intercepts of linear equations and graphs.
Equations with Variables on Both Sides
Practice solving linear equations with variables on both sides, including those with fractions and decimals.