Factorising Quadratics Worksheet

Vedic maths trick 35: Factorising quadratics · Set 41 · 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 − x − 4 =
2. 2.x² + 11x + 24 =
3. 3.3x² − 28x + 49 =
4. 4.x² − 1 =
5. 5.x² + x − 56 =
6. 6.2x² − 7x − 30 =
7. 7.x² − 2x − 24 =
8. 8.x² + 3x − 54 =
9. 9.2x² − 19x + 9 =
10. 10.2x² − 3x − 14 =
11. 11.2x² − 19x + 45 =
12. 12.2x² + 7x − 30 =
13. 13.x² − 10x + 9 =
14. 14.3x² − 10x − 25 =
15. 15.x² − 7x − 8 =
16. 16.x² + x − 30 =
17. 17.x² − 3x − 10 =
18. 18.x² − x − 30 =
19. 19.x² − 12x + 35 =
20. 20.3x² − 19x + 20 =
21. 21.3x² − 34x + 63 =
22. 22.x² + 10x + 21 =
23. 23.2x² + 11x + 5 =
24. 24.x² + x − 42 =
25. 25.2x² − 7x − 30 =
26. 26.x² − 9x + 8 =
27. 27.x² + 4x − 12 =
28. 28.x² + 7x − 18 =
29. 29.3x² − 14x + 16 =
30. 30.x² − 4x + 3 =
31. 31.x² − 1 =
32. 32.3x² − 31x + 56 =
33. 33.x² − 2x − 35 =
34. 34.x² − 5x − 14 =
35. 35.x² − 13x + 36 =
36. 36.x² + 4x − 45 =
37. 37.2x² − 19x + 24 =
38. 38.x² + 4x − 32 =
39. 39.x² + 3x − 10 =
40. 40.x² − 3x − 40 =

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