Factorising Quadratics Worksheet

Vedic maths trick 35: Factorising quadratics · Set 5 · 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 − 12 =
2. 2.3x² + 13x − 56 =
3. 3.x² + 19x + 90 =
4. 4.3x² − 5x − 50 =
5. 5.x² − 64 =
6. 6.x² − 6x − 27 =
7. 7.x² − 81 =
8. 8.2x² + 9x + 9 =
9. 9.x² + 2x − 48 =
10. 10.x² + 6x + 8 =
11. 11.x² − 7x + 6 =
12. 12.x² + 4x − 12 =
13. 13.x² − 5x + 4 =
14. 14.2x² − x − 10 =
15. 15.x² + 6x − 16 =
16. 16.3x² − 22x − 16 =
17. 17.x² − 9x + 8 =
18. 18.3x² + 4x − 32 =
19. 19.x² − 8x + 12 =
20. 20.x² − 9x + 18 =
21. 21.3x² − 7x + 4 =
22. 22.x² − 25 =
23. 23.x² + 6x − 27 =
24. 24.2x² − 9x + 9 =
25. 25.x² + 2x − 8 =
26. 26.x² + 4x − 5 =
27. 27.x² + 2x − 63 =
28. 28.2x² + 25x + 72 =
29. 29.x² − 8x + 12 =
30. 30.x² − 13x + 42 =
31. 31.x² − 2x − 3 =
32. 32.x² − 5x − 14 =
33. 33.x² + 17x + 72 =
34. 34.x² − 15x + 56 =
35. 35.x² − 13x + 36 =
36. 36.x² − 9x + 18 =
37. 37.3x² + 8x − 3 =
38. 38.x² − 3x − 4 =
39. 39.x² − 4x + 3 =
40. 40.3x² − 11x − 20 =

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