Factorising Quadratics Worksheet

Vedic maths trick 35: Factorising quadratics · Set 222 · 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. 1.2x² − 23x + 63 =
2. 2.x² − 4x − 21 =
3. 3.2x² − 13x + 18 =
4. 4.3x² + 28x + 32 =
5. 5.3x² + 20x + 25 =
6. 6.x² − 2x − 35 =
7. 7.x² − 10x + 24 =
8. 8.x² + 2x − 35 =
9. 9.3x² + 8x − 3 =
10. 10.x² − 2x − 35 =
11. 11.3x² − 29x + 18 =
12. 12.x² + 19x + 90 =
13. 13.x² + 4x − 5 =
14. 14.x² − 7x + 6 =
15. 15.2x² + 23x + 45 =
16. 16.3x² − 17x − 56 =
17. 17.x² − 14x + 48 =
18. 18.x² − 4x − 5 =
19. 19.2x² + 7x − 15 =
20. 20.x² − 6x − 7 =
21. 21.2x² − 5x + 3 =
22. 22.x² + 7x + 10 =
23. 23.2x² + 3x − 54 =
24. 24.x² − x − 6 =
25. 25.2x² − 23x + 56 =
26. 26.2x² − 3x − 5 =
27. 27.x² + 3x − 54 =
28. 28.x² − 6x − 16 =
29. 29.2x² − 15x + 27 =
30. 30.x² + 5x + 6 =
31. 31.x² + 19x + 90 =
32. 32.3x² + 20x − 63 =
33. 33.x² + 3x − 4 =
34. 34.2x² − 23x + 63 =
35. 35.x² − 17x + 72 =
36. 36.x² − 7x + 12 =
37. 37.x² − 4x − 5 =
38. 38.2x² − 9x + 10 =
39. 39.x² + 5x − 36 =
40. 40.3x² − 31x + 70 =

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