Factorising Quadratics Worksheet

Vedic maths trick 35: Factorising quadratics · Set 30 · 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 − 12x + 35 =
2. 2.2x² − 23x + 63 =
3. 3.x² + 7x + 12 =
4. 4.x² − 10x + 16 =
5. 5.x² − 7x + 12 =
6. 6.x² − 4x − 21 =
7. 7.3x² − 14x − 49 =
8. 8.3x² + 16x + 20 =
9. 9.x² + 2x − 24 =
10. 10.x² − 3x − 10 =
11. 11.2x² − 9x + 10 =
12. 12.x² + 15x + 56 =
13. 13.3x² − 23x + 40 =
14. 14.x² + 8x + 12 =
15. 15.x² − 6x − 16 =
16. 16.x² − 6x − 7 =
17. 17.x² − 5x − 6 =
18. 18.x² − 5x + 6 =
19. 19.3x² − 11x + 10 =
20. 20.3x² − 20x − 32 =
21. 21.x² − x − 72 =
22. 22.3x² − 19x + 6 =
23. 23.x² − 2x − 24 =
24. 24.x² + 6x + 5 =
25. 25.x² − 6x − 27 =
26. 26.x² − 13x + 40 =
27. 27.x² + 11x + 18 =
28. 28.2x² + 5x − 63 =
29. 29.x² − 4x + 3 =
30. 30.3x² − 22x + 24 =
31. 31.2x² + 11x + 14 =
32. 32.x² − 13x + 42 =
33. 33.2x² − 17x + 21 =
34. 34.x² − 14x + 48 =
35. 35.x² + 5x − 24 =
36. 36.x² − 13x + 42 =
37. 37.x² + 2x − 24 =
38. 38.x² − 5x + 6 =
39. 39.x² + 13x + 40 =
40. 40.2x² + 3x − 54 =

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