Factorising Quadratics Worksheet

Vedic maths trick 35: Factorising quadratics · Set 19 · 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 − 14x + 45 =
2. 2.3x² + 5x − 8 =
3. 3.x² + 2x − 15 =
4. 4.x² − 7x + 12 =
5. 5.2x² − 11x + 9 =
6. 6.x² + 17x + 72 =
7. 7.x² − 6x + 8 =
8. 8.x² − 5x − 6 =
9. 9.3x² − 31x + 36 =
10. 10.2x² − x − 36 =
11. 11.2x² + 11x − 21 =
12. 12.3x² − 31x + 36 =
13. 13.x² − 2x − 35 =
14. 14.x² − 15x + 56 =
15. 15.x² + x − 42 =
16. 16.x² + 8x − 9 =
17. 17.x² + x − 72 =
18. 18.3x² − 23x − 8 =
19. 19.3x² − 5x − 28 =
20. 20.3x² + 19x − 40 =
21. 21.x² + 4x − 5 =
22. 22.x² + 14x + 45 =
23. 23.x² − 10x + 21 =
24. 24.3x² + x − 2 =
25. 25.x² + 7x + 6 =
26. 26.x² − 5x − 24 =
27. 27.3x² − 16x + 21 =
28. 28.x² + 3x + 2 =
29. 29.3x² − 17x − 6 =
30. 30.x² + 8x + 12 =
31. 31.x² + x − 72 =
32. 32.x² − 5x − 14 =
33. 33.x² + 17x + 72 =
34. 34.x² − 2x − 24 =
35. 35.x² + 3x − 4 =
36. 36.x² − 13x + 36 =
37. 37.x² − 2x − 48 =
38. 38.2x² + 7x − 9 =
39. 39.3x² − 16x + 20 =
40. 40.x² − 6x + 5 =

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