1. Solve by factorisation: x² - 5x + 6 = 0.
- Ax = 2, 3
- Bx = -2, -3
- Cx = 1, 6
- Dx = -1, -6
Show answer
Answer: A) x = 2, 3
x² - 5x + 6 = (x - 2)(x - 3) = 0, so x = 2 or x = 3.
Class 10 Solving by Factorisation — practice questions with answers
Quadratic Equations · 5 sample questions from the school syllabus. Try each one, then open the answer and the worked solution.
2. Solve by factorisation: x² - 2x - 8 = 0.
- Ax = 4, -2
- Bx = -4, 2
- Cx = 8, -1
- Dx = 2, 4
Show answer
Answer: A) x = 4, -2
x² - 2x - 8 = (x - 4)(x + 2) = 0, so x = 4 or x = -2.
3. Solve by factorisation: 3x² - 2x - 1 = 0.
- Ax = 1,
- Bx = -1,
- Cx = 1,
- Dx = 3, -1
Show answer
Answer: A) x = 1,
3x² - 2x - 1 = (x - 1)(3x + 1) = 0, so x = 1 or x = .
4. Solve by factorisation: x² - (a + b)x + ab = 0 (a, b constants).
- Ax = a, b
- Bx = -a, -b
- Cx = a + b, ab
- Dx = a, -b
Show answer
Answer: A) x = a, b
x² - (a+b)x + ab = (x - a)(x - b) = 0, so x = a or x = b.
5. Solve by factorisation: x² - 5x + 4 = 0. What is the larger root?
- A3
- B4
- C5
- D8
Show answer
Answer: B) 4
x² - 5x + 4 = (x - 1)(x - 4) = 0, so x = 1 or x = 4. The larger root is 4.
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