Factorising Quadratics Worksheet

Vedic maths trick 35: Factorising quadratics · Set 131 · 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 − 2x − 63 =
2. 2.x² − 25 =
3. 3.x² − 2x − 24 =
4. 4.x² + 7x + 12 =
5. 5.x² − 15x + 56 =
6. 6.x² + 10x + 24 =
7. 7.x² − 5x + 6 =
8. 8.3x² + x − 4 =
9. 9.x² − 3x − 40 =
10. 10.x² − 11x + 24 =
11. 11.x² − 36 =
12. 12.3x² + 10x + 3 =
13. 13.3x² − 19x + 30 =
14. 14.3x² − 8x − 3 =
15. 15.x² + 14x + 45 =
16. 16.x² − x − 2 =
17. 17.x² − x − 6 =
18. 18.2x² + 21x + 40 =
19. 19.x² − 10x + 21 =
20. 20.2x² − 7x − 15 =
21. 21.2x² + 3x − 9 =
22. 22.x² − 7x − 8 =
23. 23.x² + 11x + 30 =
24. 24.2x² − 5x − 7 =
25. 25.3x² − 22x − 16 =
26. 26.x² − 4 =
27. 27.2x² + 5x − 3 =
28. 28.x² + 16x + 63 =
29. 29.x² + x − 2 =
30. 30.x² − 4x + 3 =
31. 31.x² + 10x + 9 =
32. 32.x² − 4x − 21 =
33. 33.x² − 3x − 10 =
34. 34.3x² + 11x − 20 =
35. 35.x² − x − 72 =
36. 36.x² − 8x + 15 =
37. 37.2x² − 7x + 6 =
38. 38.2x² − 3x − 27 =
39. 39.x² + 7x − 8 =
40. 40.3x² − 10x + 8 =

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