Factorising quadratics — Vedic maths trick

The trick

Anurupyena — “proportionately”

1. x² + bx + c: two numbers that multiply to c and add up to b → (x + one)(x + other).
2. ax² + bx + c: multiply a × c; find two numbers that multiply to that and add up to b; split the middle term with them.
3. Group the four terms in pairs and take out the common bracket. Check by multiplying back.

Use it for: Quadratic expressions and equations in Class 9–10. Type the brackets in any order.

Worked example: 2x² + 7x + 3 = (2x + 1)(x + 3)

✏️ Practice

Work it out in your head or on paper, type the answer and press Check. Stuck? Press “Show me how”.

🏁 Trick 35 test

20 sums. Check each answer, then go to the next one. Get 16 or more right to pass.

🏅 Sign in with Google to earn the 🧩 Factor Finder badge when you pass — and a certificate when you finish all 6 tricks of Part 4 · Algebra & number sense. You can still take the test without signing in.

🖨️ Factorising Quadratics Worksheet

• Worksheet set 1 (PDF)
• Worksheet set 2 (PDF)
• Worksheet set 3 (PDF)