Grade 10 Factoring Quadratics Worksheets
Start with eight focused practice problems, then use the answer key below to check the worksheet.
Practice Worksheet
Grade 10 Factoring Quadratics Practice
Solve each problem. Show your work.
- 1.Factor: x^2 + 5x - 24
- 2.Factor: x^2 - 13x + 40
- 3.Factor: x^2 + 1x - 72
- 4.Factor: x^2 - 8x + 12
- 5.Factor: x^2 - 13x + 42
- 6.Factor: x^2 - 14x + 48
- 7.Factor: x^2 + 10x + 21
- 8.Factor: x^2 - 6x - 7
Show answer key
- Question 1: (x + 8)(x - 3)
- Question 2: (x - 5)(x - 8)
- Question 3: (x - 8)(x + 9)
- Question 4: (x - 2)(x - 6)
- Question 5: (x - 6)(x - 7)
- Question 6: (x - 8)(x - 6)
- Question 7: (x + 3)(x + 7)
- Question 8: (x + 1)(x - 7)
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About These Worksheets
Grade 10 students use factoring to solve quadratic equations and connect algebraic form to the x-intercepts of a parabola.
Factoring quadratics worksheets give Grade 10 students practice reversing expansion: turning a trinomial such as x^2 + 7x + 12 back into (x + 3)(x + 4). This skill is central to quadratic relations because factored form reveals the zeros of a parabola, making it easier to solve equations and interpret graphs.
These worksheets include simple trinomials, common factors, negative constants, and cases where students must choose factor pairs carefully. Students learn to look for two numbers that multiply to the constant term and add to the middle coefficient, then check by expanding. Factoring also builds algebraic pattern recognition. It is used in solving quadratic equations, simplifying rational expressions, identifying x-intercepts, and preparing for more advanced functions work in senior grades.
Skills Practised
- Factoring simple quadratic trinomials
- Finding factor pairs that match a middle coefficient
- Factoring out a greatest common factor first
- Checking factors by expanding
- Using factored form to identify zeros
Parent Tip: Factoring can look like guessing from the outside. Use the answer key to compare factors, then ask your teen to expand their answer back out or use photo checking for the reasoning.