Factorising Quadratics Worksheet

Vedic maths trick 35: Factorising quadratics · Set 57 · 40 sums

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

1. 1.3x² + 7x − 10 =
2. 2.2x² − 5x − 42 =
3. 3.3x² − x − 10 =
4. 4.x² − 3x − 10 =
5. 5.x² − 10x + 24 =
6. 6.x² − 1 =
7. 7.x² − x − 6 =
8. 8.2x² − 21x + 27 =
9. 9.2x² + 9x − 18 =
10. 10.x² − 11x + 28 =
11. 11.2x² − 5x − 25 =
12. 12.3x² − 32x + 45 =
13. 13.x² + 7x − 8 =
14. 14.x² − 8x + 12 =
15. 15.3x² − 29x + 56 =
16. 16.x² − 3x − 54 =
17. 17.x² − 8x − 9 =
18. 18.3x² + 17x − 6 =
19. 19.x² − 4 =
20. 20.x² − 14x + 45 =
21. 21.2x² − 9x − 56 =
22. 22.x² − 7x + 10 =
23. 23.x² − 2x − 48 =
24. 24.x² + 15x + 54 =
25. 25.x² − 15x + 56 =
26. 26.x² − 4x + 3 =
27. 27.2x² + 3x − 9 =
28. 28.x² − 3x − 18 =
29. 29.x² − 3x + 2 =
30. 30.x² + 10x + 21 =
31. 31.x² + 12x + 32 =
32. 32.x² + 8x − 9 =
33. 33.x² − 16 =
34. 34.3x² − 13x − 30 =
35. 35.x² + x − 12 =
36. 36.x² − 9 =
37. 37.x² + x − 30 =
38. 38.x² − 7x − 18 =
39. 39.x² − 2x − 24 =
40. 40.x² − 12x + 32 =

Free vedic maths lessons, practice and worksheets at talentjr.in/vedic-maths