Summary

This document presents a set of factorisation practice questions in Algebra, covering various types of expressions. The questions include quadratic equations and other algebraic expressions requiring factorisation steps.

Full Transcript

# Factorise les expressions suivantes: 1. **a) 3x² + 13x - 10** = (x + 5)(3x - 2) 2. **b) x² + 9x + 14** = (x + 7)(x + 2) 3. **c) x² - 8x** = x(x - 8) 4. **d) 2x² + 6x - 36** = 2(x - 3)(x + 6) 5. **e) x² - 16** = (x - 4)(x + 4) 6. **f) x² + 3x - 10** = (x - 1)(x + 5) 7. **g) 3x² -...

# Factorise les expressions suivantes: 1. **a) 3x² + 13x - 10** = (x + 5)(3x - 2) 2. **b) x² + 9x + 14** = (x + 7)(x + 2) 3. **c) x² - 8x** = x(x - 8) 4. **d) 2x² + 6x - 36** = 2(x - 3)(x + 6) 5. **e) x² - 16** = (x - 4)(x + 4) 6. **f) x² + 3x - 10** = (x - 1)(x + 5) 7. **g) 3x² - 13x - 10** = (x - 5)(3x + 2) 8. **h) 3x² - 9x + 30** = 3(x² - 3x + 10) 9. **i) x² + 9x - 10** = (x + 10)(x - 1) 10. **j) x² + 9x + 18** = (X + 3)(x + 6) 11. **k) x² - 11x - 18** = Impossible to factorise 12. **l) 4x² + 10x - 6** = 2(2x - 1)(x + 3) 13. **m) 4x² - 21x + 20** = (4x - 5)(x - 4) 14. **n) x² + 4x + 4** = (x + 2)² 15. **o) x² - 144** = (x + 12)(x - 12) 16. **p) x² - 9x - 10** = (x - 10)(x + 1) 17. **q) x² + 8x + 15** = (x + 3)(x + 5) 18. **r) x² - 9x + 16** = Impossible to factorise 19. **s) 4x² - 8x + 4** = 4(x - 1)² 20. **t) 2x² - 10x + 8** = 2(x - 4)(x - 1) 21. **u) 2x² + 9x + 9** = (2x + 3)(x + 3) 22. **v) x² + 3x - 4** = (x + 4)(x - 1) 23. **w) x² - 49** = (x - 7)(x + 7) 24. **x) x² + 6x** = x(x + 6) 25. **y) x² + 11x + 24** = (x + 3)(x + 8) 26. **z) x² - 2x + 8** = Impossible to factorise 27. **aa) x² - 25** = (x - 5)(x + 5) 28. **bb) x² - 8x - 9** = (x - 9)(x + 1) 29. **cc) 4x² + 21x - 18** = (4x - 3)(x + 6) 30. **dd) x² - 8x - 15** = Impossible to factorise 31. **ee) 4x² - 21x - 18** = (4x + 3)(x - 6) 32. **ff) x² + 7x** = x(x + 7)

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