Factorising Quadratics Worksheet

Vedic maths trick 35: Factorising quadratics · Set 28 · 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 + 13x + 42 =
2. 2.2x² + 3x − 27 =
3. 3.x² − 10x + 21 =
4. 4.x² − 15x + 56 =
5. 5.x² − 9x + 18 =
6. 6.x² − 9x + 18 =
7. 7.x² − 2x − 15 =
8. 8.2x² + x − 28 =
9. 9.3x² − 25x + 28 =
10. 10.x² − 13x + 42 =
11. 11.x² + 13x + 42 =
12. 12.2x² − 21x + 40 =
13. 13.x² + x − 56 =
14. 14.3x² + 22x + 35 =
15. 15.x² − x − 30 =
16. 16.x² − x − 2 =
17. 17.x² − 13x + 36 =
18. 18.x² + 8x − 9 =
19. 19.2x² − 23x + 56 =
20. 20.x² + 3x − 10 =
21. 21.x² + 11x + 30 =
22. 22.3x² + 29x + 40 =
23. 23.2x² + 5x + 2 =
24. 24.2x² + 21x + 49 =
25. 25.x² + x − 56 =
26. 26.x² − x − 72 =
27. 27.2x² + 11x − 40 =
28. 28.x² + 14x + 45 =
29. 29.x² − 10x + 24 =
30. 30.x² + 6x − 7 =
31. 31.x² − 4x − 21 =
32. 32.3x² + 2x − 40 =
33. 33.x² + 9x + 20 =
34. 34.x² − 5x + 4 =
35. 35.3x² + 17x − 6 =
36. 36.x² + 9x + 20 =
37. 37.x² + 6x + 8 =
38. 38.3x² − 10x − 25 =
39. 39.x² + 2x − 8 =
40. 40.x² − 5x − 36 =

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