Factorising Quadratics Worksheet

Vedic maths trick 35: Factorising quadratics · Set 214 · 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 − 10x − 48 =
2. 2.x² + 13x + 42 =
3. 3.x² − 10x + 21 =
4. 4.2x² − 3x − 14 =
5. 5.x² + 13x + 36 =
6. 6.x² − 13x + 42 =
7. 7.x² − 2x − 24 =
8. 8.2x² − 7x − 30 =
9. 9.x² + 9x + 18 =
10. 10.3x² − 17x + 20 =
11. 11.3x² − 20x + 32 =
12. 12.x² + 2x − 3 =
13. 13.x² + 8x + 12 =
14. 14.x² + 8x + 12 =
15. 15.x² − 2x − 63 =
16. 16.3x² − 16x − 35 =
17. 17.3x² − 25x + 42 =
18. 18.2x² − 9x − 5 =
19. 19.2x² + 13x + 20 =
20. 20.2x² − 21x + 54 =
21. 21.x² − 64 =
22. 22.x² + 9x + 18 =
23. 23.x² − 2x − 3 =
24. 24.x² − 10x + 9 =
25. 25.x² − 5x − 14 =
26. 26.x² + 8x + 15 =
27. 27.3x² − 28x + 60 =
28. 28.3x² + 16x − 12 =
29. 29.2x² − x − 36 =
30. 30.3x² + 11x − 4 =
31. 31.2x² − 15x + 27 =
32. 32.x² − 4x − 5 =
33. 33.3x² + 26x + 48 =
34. 34.x² + 9x + 18 =
35. 35.2x² + 7x + 5 =
36. 36.2x² − x − 36 =
37. 37.3x² − 28x + 32 =
38. 38.2x² − 7x + 5 =
39. 39.3x² + 14x − 24 =
40. 40.2x² − 9x + 10 =

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