Factorising Quadratics Worksheet

Vedic maths trick 35: Factorising quadratics · Set 112 · 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 + x − 72 =
2. 2.x² − 7x + 10 =
3. 3.x² − 2x − 63 =
4. 4.x² − x − 42 =
5. 5.x² − x − 72 =
6. 6.2x² + 11x − 40 =
7. 7.2x² − x − 6 =
8. 8.3x² + 13x + 10 =
9. 9.3x² + 26x + 35 =
10. 10.3x² − 34x + 80 =
11. 11.x² − 12x + 35 =
12. 12.x² + 11x + 18 =
13. 13.2x² + 5x − 63 =
14. 14.2x² − 23x + 63 =
15. 15.x² − 6x − 16 =
16. 16.x² − 15x + 54 =
17. 17.3x² + 25x + 50 =
18. 18.x² − 2x − 48 =
19. 19.x² − 10x + 9 =
20. 20.3x² + 13x + 4 =
21. 21.x² − 3x − 18 =
22. 22.x² − 7x − 8 =
23. 23.3x² − 4x + 1 =
24. 24.x² + x − 72 =
25. 25.x² − 64 =
26. 26.x² + 3x − 10 =
27. 27.x² − 2x − 63 =
28. 28.3x² − 31x + 36 =
29. 29.2x² − 7x − 15 =
30. 30.x² − 2x − 3 =
31. 31.3x² − 11x − 20 =
32. 32.x² + 2x − 3 =
33. 33.x² + 5x − 36 =
34. 34.x² − 5x − 14 =
35. 35.x² − 9x + 14 =
36. 36.3x² + 14x − 5 =
37. 37.2x² − 13x + 6 =
38. 38.2x² − 5x − 63 =
39. 39.x² − 3x + 2 =
40. 40.3x² − 31x + 56 =

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