Grade 11–12Common Core (CCSS) · Math: algebra
Math · Grade 11Polynomial Equation Worksheets — Free with Answers
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Polynomial equations · Grade 11
Name: ____________________Worked example
- x³ = a: take the cube root of both sides.
- x³ = kx: move everything to one side and factor out x, so x = 0 is one solution.
- (x − a)(x − b)(x − c) = 0: the zero-product property gives x = a, x = b and x = c.
1.
Solve: x³ = 125
2.
Solve: x³ = 64
3.
Solve: x³ = 8
4.
Solve: x³ = 216
5.
Solve: x³ = 343
6.
Solve: x³ = 729
7.
Solve: x³ = 27
8.
Solve: x³ = 512
9.
Solve: x³ = 216
10.
Solve: x³ = 216
11.
Solve: x³ = 729
12.
Solve: x³ = 343
13.
Solve: x³ = 216
14.
Solve: x³ = 729
15.
Solve: x³ = 343
16.
Solve: x³ = 216
17.
Solve: x³ = 216
18.
Solve: x³ = 64
19.
Solve: x³ = 27
20.
Solve: x³ = 216
Answer key
- 1. x = 5
- 2. x = 4
- 3. x = 2
- 4. x = 6
- 5. x = 7
- 6. x = 9
- 7. x = 3
- 8. x = 8
- 9. x = 6
- 10. x = 6
- 11. x = 9
- 12. x = 7
- 13. x = 6
- 14. x = 9
- 15. x = 7
- 16. x = 6
- 17. x = 6
- 18. x = 4
- 19. x = 3
- 20. x = 6
Step 1 of 5
Choose an area
Your choices
- Area
- Algebra
- Exercise type
- Polynomial equations
- Grade
- 11 (ages 16–17)
- Difficulty
- Easy
- Number of tasks
- 20
- Task format
- Calculations
- Paper size
- US Letter
Your choices
- Area
- Algebra
- Exercise type
- Polynomial equations
- Grade
- 11 (ages 16–17)
- Difficulty
- Easy
- Number of tasks
- 20
- Task format
- Calculations
- Paper size
- US Letter
More options
Practise cubic equations: cube roots, rearranging and the zero-product property.
How to use the tool
- Pick difficulty and number of tasks.
- Print or save as PDF with the answer key.
- “Create new version” gives new numbers.
About this generator
Easy gives x³ = a with whole-number roots, medium x³ = kx with roots −r, 0 and r, and hard factored equations (x − r₁)(x − r₂)(x − r₃) = 0. The answer key is calculated by the website. No sign-up needed.
Popular uses
- Homework
- Exam revision
- Lesson starters
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Frequently asked questions
- How do I pick the right level?
- Choose an age or grade in step 2. Start easier if the pupil is unsure – you can switch anytime and get new problems instantly.
- Can I see the problems before printing?
- Yes. The sheet shows exactly the problems that will print. Click New problems to swap them.
- How do I include an answer key?
- Turn on Answer key in the last step. It prints on its own page after the problems, with the same numbering.
- What does the question mark next to a problem do?
- It opens a step-by-step explanation of the method on screen. It is not printed and does not reveal the answer.
- Which grade are these for?
- Typically grades 11–12.