Grade 10–11Common Core (CCSS) · Math: algebra
Math · Grade 10Quadratic Function Worksheets — Free with Answers
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Quadratic functions and zeros · Grade 10
Name: ____________________Worked example
- Find two numbers whose sum and product match the coefficients: write (x − a)(x − b).
- The zeros are x = a and x = b.
- Example: x² − 5x + 6 = (x − 2)(x − 3), so x = 2 and x = 3.
Find the zeros: y = x² − 5x + 6
Find the zeros: y = x² − 4x + 3
Find the zeros: y = x² − 7x + 12
Find the zeros: y = x² − 6x + 5
Find the zeros: y = x² − 5x + 4
Find the zeros: y = x² − 9x + 18
Find the zeros: y = x² − 8x + 15
Find the zeros: y = x² − 11x + 30
Find the zeros: y = x² − 3x + 2
Find the zeros: y = x² − 6x + 8
Find the zeros: y = x² − 9x + 20
Find the zeros: y = x² − 7x + 10
Find the zeros: y = x² − 13x + 40
Find the zeros: y = x² − 12x + 35
Find the zeros: y = x² − 11x + 28
Find the zeros: y = x² − 10x + 24
Find the zeros: y = x² − 7x + 12
Find the zeros: y = x² − 7x + 12
Find the zeros: y = x² − 4x + 3
Find the zeros: y = x² − 7x + 12
Answer key
- 1. x = 2, x = 3
- 2. x = 1, x = 3
- 3. x = 3, x = 4
- 4. x = 1, x = 5
- 5. x = 1, x = 4
- 6. x = 3, x = 6
- 7. x = 3, x = 5
- 8. x = 5, x = 6
- 9. x = 1, x = 2
- 10. x = 2, x = 4
- 11. x = 4, x = 5
- 12. x = 2, x = 5
- 13. x = 5, x = 8
- 14. x = 5, x = 7
- 15. x = 4, x = 7
- 16. x = 4, x = 6
- 17. x = 3, x = 4
- 18. x = 3, x = 4
- 19. x = 1, x = 3
- 20. x = 3, x = 4
Step 1 of 5
Choose an area
Your choices
- Area
- Algebra
- Exercise type
- Quadratic functions and zeros
- Grade
- 10 (ages 15–16)
- Difficulty
- Easy
- Number of tasks
- 20
- Task format
- Calculations
- Paper size
- US Letter
Your choices
- Area
- Algebra
- Exercise type
- Quadratic functions and zeros
- Grade
- 10 (ages 15–16)
- Difficulty
- Easy
- Number of tasks
- 20
- Task format
- Calculations
- Paper size
- US Letter
More options
Practise zeros, the quadratic formula and factorising.
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
Zeros are where f(x) = 0. Easy uses small whole-number roots, hard larger and negative roots. 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 9–10.