Factorising Quadratics Worksheet

Vedic maths trick 35: Factorising quadratics · Set 21 · 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 + 3 =
2. 2.x² − 7x + 10 =
3. 3.2x² + 19x + 9 =
4. 4.2x² − 17x + 35 =
5. 5.2x² − 11x − 40 =
6. 6.2x² + 7x − 72 =
7. 7.x² − 3x − 40 =
8. 8.3x² − 5x + 2 =
9. 9.x² − 4x − 5 =
10. 10.x² + x − 30 =
11. 11.x² + 6x + 8 =
12. 12.x² − 6x − 27 =
13. 13.x² − 8x + 12 =
14. 14.2x² − 5x − 18 =
15. 15.x² − 2x − 15 =
16. 16.x² − 8x + 12 =
17. 17.2x² − 11x + 15 =
18. 18.2x² + 11x − 63 =
19. 19.x² + x − 72 =
20. 20.x² − 3x − 18 =
21. 21.x² − 5x + 6 =
22. 22.x² − 4x − 12 =
23. 23.x² − 6x − 27 =
24. 24.2x² + 13x + 21 =
25. 25.x² + 9x + 14 =
26. 26.2x² + 9x − 5 =
27. 27.x² − x − 72 =
28. 28.x² − 16x + 63 =
29. 29.x² + 4x − 12 =
30. 30.3x² + 16x + 16 =
31. 31.3x² + 13x + 12 =
32. 32.x² + 8x + 15 =
33. 33.x² − 5x + 6 =
34. 34.x² − 16 =
35. 35.x² − 5x − 6 =
36. 36.x² − 8x + 7 =
37. 37.2x² − 7x + 5 =
38. 38.x² − 6x + 8 =
39. 39.x² + 5x + 6 =
40. 40.x² − 3x − 4 =

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