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Subtracting Polynomials Practice Worksheet
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Subtracting Polynomials Practice Worksheet
Subtract each polynomial. Distribute the negative sign across the second set of parentheses, then combine like terms. Show your working.
Subtract and Simplify
1.Simplify: (5x² + 2x − 7) − (2x² − 4x + 3).
2.Simplify: (8y³ − 3y² + 5y − 6) − (3y³ + 2y² − y + 4).
3.Simplify: (−3a² + 6a + 2) − (4a² − 2a − 5).
4.Simplify: (7m³ − 5m² + 2) − (2m³ + m² − 4m + 9).
Choose the Correct Difference
Select the simplified result.
5.What is (6x² − x + 8) − (2x² + 3x − 1)?
- 4x² − 4x + 9
- 4x² + 2x + 7
- 8x² − 4x + 7
- 4x² − 4x + 7
6.Simplify: (9y² + 5y − 4) − (4y² − 2y + 6).
- 5y² + 3y − 10
- 5y² + 7y − 10
- 13y² + 3y + 2
- 5y² + 7y + 2
7.Find (12z³ − 3z² + 2z − 7) − (5z³ + 4z² − 6z + 1).
- 7z³ + z² − 4z − 6
- 7z³ − 7z² + 8z − 8
- 17z³ + z² − 4z − 6
- 7z³ − 7z² + 8z − 6
8.Which expression is equal to (4a² − 3a + 2) − (−a² + 5a − 6)?
- 3a² − 8a + 8
- 5a² + 2a − 4
- 5a² − 8a + 8
- 5a² − 8a − 4
Apply Polynomial Subtraction
9.At a post office, Madison sorts (8x² + 5x + 12) parcels in one shift, where the expression represents the number of parcels for a chosen value of x. Malik sorts (3x² − 2x + 7). Write a simplified expression for how many more parcels Madison sorts than Malik.
10.A business models its revenue as R = 6x³ + 2x² − 7x + 15 and its expenses as E = 2x³ − 5x² + 3x − 8. Find and simplify the net amount, R − E.
11.Challenge: Simplify (5a²b − 2ab² + 4ab − 3) − (2a²b + 3ab² − 6ab + 8).
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