Factorising Quadratics Worksheet

Vedic maths trick 35: Factorising quadratics · Set 147 · 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.x² + 4x − 45 =
2. 2.x² + 4x + 3 =
3. 3.x² − 11x + 18 =
4. 4.x² − 5x − 24 =
5. 5.x² − 11x + 30 =
6. 6.x² − x − 6 =
7. 7.x² − 4 =
8. 8.x² − 3x − 28 =
9. 9.x² + x − 6 =
10. 10.x² + 2x − 63 =
11. 11.x² − 11x + 18 =
12. 12.2x² + 3x + 1 =
13. 13.2x² − 9x − 35 =
14. 14.x² + 10x + 9 =
15. 15.2x² − x − 6 =
16. 16.x² − 7x − 18 =
17. 17.3x² + 28x + 60 =
18. 18.x² − 7x + 10 =
19. 19.x² − 7x − 8 =
20. 20.x² + 6x + 8 =
21. 21.x² + 10x + 16 =
22. 22.2x² − 3x − 5 =
23. 23.x² − 8x − 9 =
24. 24.x² − 10x + 24 =
25. 25.x² + 4x − 21 =
26. 26.3x² − 20x − 63 =
27. 27.x² + 7x − 8 =
28. 28.2x² − 5x − 12 =
29. 29.x² + 13x + 42 =
30. 30.x² − 11x + 30 =
31. 31.x² + 15x + 54 =
32. 32.3x² + 17x − 28 =
33. 33.x² + 14x + 48 =
34. 34.3x² + 23x − 8 =
35. 35.x² − 4x − 45 =
36. 36.3x² − 31x + 36 =
37. 37.x² − 8x − 9 =
38. 38.x² − 6x − 16 =
39. 39.x² − 4x − 12 =
40. 40.3x² + 25x − 18 =

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